Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [15,12,Mod(2,15)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(15, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("15.2");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 15 = 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 15.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.5251477084\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 15.2 |
Dual form | 15.12.e.a.8.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/15\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(11\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −37.4902 | + | 37.4902i | −0.828424 | + | 0.828424i | −0.987299 | − | 0.158874i | \(-0.949213\pi\) |
0.158874 | + | 0.987299i | \(0.449213\pi\) | |||||||
\(3\) | 369.789 | − | 201.005i | 0.878593 | − | 0.477572i | ||||
\(4\) | − | 763.031i | − | 0.372574i | ||||||
\(5\) | 6987.38 | − | 67.8135i | 0.999953 | − | 0.00970467i | ||||
\(6\) | −6327.78 | + | 21399.2i | −0.332215 | + | 1.12348i | ||||
\(7\) | −46363.7 | − | 46363.7i | −1.04265 | − | 1.04265i | −0.999049 | − | 0.0436027i | \(-0.986116\pi\) |
−0.0436027 | − | 0.999049i | \(-0.513884\pi\) | |||||||
\(8\) | −48173.8 | − | 48173.8i | −0.519775 | − | 0.519775i | ||||
\(9\) | 96341.3 | − | 148659.i | 0.543850 | − | 0.839183i | ||||
\(10\) | −259416. | + | 264501.i | −0.820346 | + | 0.836425i | ||||
\(11\) | 55617.1i | 0.104123i | 0.998644 | + | 0.0520617i | \(0.0165793\pi\) | ||||
−0.998644 | + | 0.0520617i | \(0.983421\pi\) | |||||||
\(12\) | −153373. | − | 282161.i | −0.177931 | − | 0.327341i | ||||
\(13\) | 631358. | − | 631358.i | 0.471615 | − | 0.471615i | −0.430822 | − | 0.902437i | \(-0.641776\pi\) |
0.902437 | + | 0.430822i | \(0.141776\pi\) | |||||||
\(14\) | 3.47637e6 | 1.72752 | ||||||||
\(15\) | 2.57023e6 | − | 1.42957e6i | 0.873916 | − | 0.486076i | ||||
\(16\) | 5.17478e6 | 1.23376 | ||||||||
\(17\) | 2.79681e6 | − | 2.79681e6i | 0.477743 | − | 0.477743i | −0.426666 | − | 0.904409i | \(-0.640312\pi\) |
0.904409 | + | 0.426666i | \(0.140312\pi\) | |||||||
\(18\) | 1.96139e6 | + | 9.18510e6i | 0.244661 | + | 1.14574i | ||||
\(19\) | − | 1.01926e7i | − | 0.944368i | −0.881500 | − | 0.472184i | \(-0.843466\pi\) | ||
0.881500 | − | 0.472184i | \(-0.156534\pi\) | |||||||
\(20\) | −51743.8 | − | 5.33159e6i | −0.00361571 | − | 0.372556i | ||||
\(21\) | −2.64641e7 | − | 7.82549e6i | −1.41401 | − | 0.418125i | ||||
\(22\) | −2.08510e6 | − | 2.08510e6i | −0.0862584 | − | 0.0862584i | ||||
\(23\) | 1.26689e7 | + | 1.26689e7i | 0.410426 | + | 0.410426i | 0.881887 | − | 0.471461i | \(-0.156273\pi\) |
−0.471461 | + | 0.881887i | \(0.656273\pi\) | |||||||
\(24\) | −2.74973e7 | − | 8.13100e6i | −0.704901 | − | 0.208440i | ||||
\(25\) | 4.88189e7 | − | 947677.i | 0.999812 | − | 0.0194084i | ||||
\(26\) | 4.73395e7i | 0.781394i | ||||||||
\(27\) | 5.74493e6 | − | 7.43374e7i | 0.0770520 | − | 0.997027i | ||||
\(28\) | −3.53770e7 | + | 3.53770e7i | −0.388465 | + | 0.388465i | ||||
\(29\) | −1.48130e8 | −1.34108 | −0.670539 | − | 0.741874i | \(-0.733937\pi\) | ||||
−0.670539 | + | 0.741874i | \(0.733937\pi\) | |||||||
\(30\) | −4.27635e7 | + | 1.49953e8i | −0.321296 | + | 1.12665i | ||||
\(31\) | 2.61818e8 | 1.64252 | 0.821258 | − | 0.570557i | \(-0.193273\pi\) | ||||
0.821258 | + | 0.570557i | \(0.193273\pi\) | |||||||
\(32\) | −9.53435e7 | + | 9.53435e7i | −0.502304 | + | 0.502304i | ||||
\(33\) | 1.11793e7 | + | 2.05666e7i | 0.0497265 | + | 0.0914821i | ||||
\(34\) | 2.09706e8i | 0.791548i | ||||||||
\(35\) | −3.27105e8 | − | 3.20817e8i | −1.05272 | − | 1.03248i | ||||
\(36\) | −1.13431e8 | − | 7.35114e7i | −0.312657 | − | 0.202624i | ||||
\(37\) | −3.41740e8 | − | 3.41740e8i | −0.810189 | − | 0.810189i | 0.174473 | − | 0.984662i | \(-0.444178\pi\) |
−0.984662 | + | 0.174473i | \(0.944178\pi\) | |||||||
\(38\) | 3.82124e8 | + | 3.82124e8i | 0.782337 | + | 0.782337i | ||||
\(39\) | 1.06564e8 | − | 3.60375e8i | 0.189127 | − | 0.639587i | ||||
\(40\) | −3.39875e8 | − | 3.33342e8i | −0.524795 | − | 0.514706i | ||||
\(41\) | 1.32229e9i | 1.78244i | 0.453567 | + | 0.891222i | \(0.350151\pi\) | ||||
−0.453567 | + | 0.891222i | \(0.649849\pi\) | |||||||
\(42\) | 1.28553e9 | − | 6.98767e8i | 1.51778 | − | 0.825014i | ||||
\(43\) | −6.29639e7 | + | 6.29639e7i | −0.0653153 | + | 0.0653153i | −0.739010 | − | 0.673695i | \(-0.764706\pi\) |
0.673695 | + | 0.739010i | \(0.264706\pi\) | |||||||
\(44\) | 4.24376e7 | 0.0387937 | ||||||||
\(45\) | 6.63093e8 | − | 1.04527e9i | 0.535680 | − | 0.844421i | ||||
\(46\) | −9.49916e8 | −0.680013 | ||||||||
\(47\) | 1.38825e9 | − | 1.38825e9i | 0.882939 | − | 0.882939i | −0.110894 | − | 0.993832i | \(-0.535371\pi\) |
0.993832 | + | 0.110894i | \(0.0353713\pi\) | |||||||
\(48\) | 1.91358e9 | − | 1.04015e9i | 1.08397 | − | 0.589211i | ||||
\(49\) | 2.32187e9i | 1.17425i | ||||||||
\(50\) | −1.79470e9 | + | 1.86576e9i | −0.812190 | + | 0.844347i | ||||
\(51\) | 4.72059e8 | − | 1.59640e9i | 0.191585 | − | 0.647898i | ||||
\(52\) | −4.81746e8 | − | 4.81746e8i | −0.175711 | − | 0.175711i | ||||
\(53\) | −4.62211e8 | − | 4.62211e8i | −0.151818 | − | 0.151818i | 0.627112 | − | 0.778929i | \(-0.284237\pi\) |
−0.778929 | + | 0.627112i | \(0.784237\pi\) | |||||||
\(54\) | 2.57155e9 | + | 3.00230e9i | 0.762130 | + | 0.889793i | ||||
\(55\) | 3.77159e6 | + | 3.88618e8i | 0.00101048 | + | 0.104119i | ||||
\(56\) | 4.46703e9i | 1.08389i | ||||||||
\(57\) | −2.04876e9 | − | 3.76912e9i | −0.451004 | − | 0.829715i | ||||
\(58\) | 5.55343e9 | − | 5.55343e9i | 1.11098 | − | 1.11098i | ||||
\(59\) | −6.47821e9 | −1.17969 | −0.589847 | − | 0.807515i | \(-0.700812\pi\) | ||||
−0.589847 | + | 0.807515i | \(0.700812\pi\) | |||||||
\(60\) | −1.09081e9 | − | 1.96116e9i | −0.181099 | − | 0.325598i | ||||
\(61\) | −6.68237e9 | −1.01302 | −0.506508 | − | 0.862235i | \(-0.669064\pi\) | ||||
−0.506508 | + | 0.862235i | \(0.669064\pi\) | |||||||
\(62\) | −9.81560e9 | + | 9.81560e9i | −1.36070 | + | 1.36070i | ||||
\(63\) | −1.13591e10 | + | 2.42563e9i | −1.44202 | + | 0.307929i | ||||
\(64\) | 3.44904e9i | 0.401521i | ||||||||
\(65\) | 4.36873e9 | − | 4.45436e9i | 0.467016 | − | 0.476169i | ||||
\(66\) | −1.19016e9 | − | 3.51933e8i | −0.116981 | − | 0.0345914i | ||||
\(67\) | 3.32538e9 | + | 3.32538e9i | 0.300905 | + | 0.300905i | 0.841368 | − | 0.540463i | \(-0.181751\pi\) |
−0.540463 | + | 0.841368i | \(0.681751\pi\) | |||||||
\(68\) | −2.13405e9 | − | 2.13405e9i | −0.177994 | − | 0.177994i | ||||
\(69\) | 7.23131e9 | + | 2.13831e9i | 0.556605 | + | 0.164589i | ||||
\(70\) | 2.42907e10 | − | 2.35745e8i | 1.72743 | − | 0.0167650i | ||||
\(71\) | − | 7.73190e9i | − | 0.508587i | −0.967127 | − | 0.254293i | \(-0.918157\pi\) | ||
0.967127 | − | 0.254293i | \(-0.0818429\pi\) | |||||||
\(72\) | −1.18026e10 | + | 2.52032e9i | −0.718866 | + | 0.153507i | ||||
\(73\) | 1.89044e9 | − | 1.89044e9i | 0.106730 | − | 0.106730i | −0.651725 | − | 0.758455i | \(-0.725954\pi\) |
0.758455 | + | 0.651725i | \(0.225954\pi\) | |||||||
\(74\) | 2.56238e10 | 1.34236 | ||||||||
\(75\) | 1.78622e10 | − | 1.01633e10i | 0.869158 | − | 0.494534i | ||||
\(76\) | −7.77729e9 | −0.351847 | ||||||||
\(77\) | 2.57862e9 | − | 2.57862e9i | 0.108564 | − | 0.108564i | ||||
\(78\) | 9.51545e9 | + | 1.75056e10i | 0.373172 | + | 0.686527i | ||||
\(79\) | 2.39607e10i | 0.876094i | 0.898952 | + | 0.438047i | \(0.144330\pi\) | ||||
−0.898952 | + | 0.438047i | \(0.855670\pi\) | |||||||
\(80\) | 3.61581e10 | − | 3.50919e8i | 1.23370 | − | 0.0119733i | ||||
\(81\) | −1.28178e10 | − | 2.86440e10i | −0.408455 | − | 0.912778i | ||||
\(82\) | −4.95730e10 | − | 4.95730e10i | −1.47662 | − | 1.47662i | ||||
\(83\) | −2.08763e10 | − | 2.08763e10i | −0.581733 | − | 0.581733i | 0.353647 | − | 0.935379i | \(-0.384942\pi\) |
−0.935379 | + | 0.353647i | \(0.884942\pi\) | |||||||
\(84\) | −5.97110e9 | + | 2.01930e10i | −0.155782 | + | 0.526822i | ||||
\(85\) | 1.93527e10 | − | 1.97321e10i | 0.473084 | − | 0.482357i | ||||
\(86\) | − | 4.72106e9i | − | 0.108218i | ||||||
\(87\) | −5.47769e10 | + | 2.97748e10i | −1.17826 | + | 0.640462i | ||||
\(88\) | 2.67928e9 | − | 2.67928e9i | 0.0541208 | − | 0.0541208i | ||||
\(89\) | 1.75952e10 | 0.334001 | 0.167001 | − | 0.985957i | \(-0.446592\pi\) | ||||
0.167001 | + | 0.985957i | \(0.446592\pi\) | |||||||
\(90\) | 1.43278e10 | + | 6.40468e10i | 0.255769 | + | 1.14331i | ||||
\(91\) | −5.85443e10 | −0.983460 | ||||||||
\(92\) | 9.66673e9 | − | 9.66673e9i | 0.152914 | − | 0.152914i | ||||
\(93\) | 9.68174e10 | − | 5.26266e10i | 1.44310 | − | 0.784420i | ||||
\(94\) | 1.04092e11i | 1.46290i | ||||||||
\(95\) | −6.91197e8 | − | 7.12198e10i | −0.00916478 | − | 0.944324i | ||||
\(96\) | −1.60925e10 | + | 5.44215e10i | −0.201434 | + | 0.681207i | ||||
\(97\) | 4.63107e10 | + | 4.63107e10i | 0.547566 | + | 0.547566i | 0.925736 | − | 0.378170i | \(-0.123447\pi\) |
−0.378170 | + | 0.925736i | \(0.623447\pi\) | |||||||
\(98\) | −8.70472e10 | − | 8.70472e10i | −0.972773 | − | 0.972773i | ||||
\(99\) | 8.26796e9 | + | 5.35823e9i | 0.0873786 | + | 0.0566275i | ||||
\(100\) | −7.23107e8 | − | 3.72504e10i | −0.00723107 | − | 0.372504i | ||||
\(101\) | 1.36284e11i | 1.29026i | 0.764073 | + | 0.645129i | \(0.223197\pi\) | ||||
−0.764073 | + | 0.645129i | \(0.776803\pi\) | |||||||
\(102\) | 4.21519e10 | + | 7.75471e10i | 0.378021 | + | 0.695448i | ||||
\(103\) | −4.19193e9 | + | 4.19193e9i | −0.0356295 | + | 0.0356295i | −0.724697 | − | 0.689068i | \(-0.758020\pi\) |
0.689068 | + | 0.724697i | \(0.258020\pi\) | |||||||
\(104\) | −6.08298e10 | −0.490267 | ||||||||
\(105\) | −1.85446e11 | − | 5.28851e10i | −1.41800 | − | 0.404382i | ||||
\(106\) | 3.46568e10 | 0.251539 | ||||||||
\(107\) | 1.14858e11 | − | 1.14858e11i | 0.791681 | − | 0.791681i | −0.190086 | − | 0.981767i | \(-0.560877\pi\) |
0.981767 | + | 0.190086i | \(0.0608767\pi\) | |||||||
\(108\) | −5.67218e10 | − | 4.38356e9i | −0.371466 | − | 0.0287075i | ||||
\(109\) | 7.06110e10i | 0.439568i | 0.975549 | + | 0.219784i | \(0.0705353\pi\) | ||||
−0.975549 | + | 0.219784i | \(0.929465\pi\) | |||||||
\(110\) | −1.47108e10 | − | 1.44280e10i | −0.0870914 | − | 0.0854172i | ||||
\(111\) | −1.95063e11 | − | 5.76805e10i | −1.09875 | − | 0.324902i | ||||
\(112\) | −2.39922e11 | − | 2.39922e11i | −1.28638 | − | 1.28638i | ||||
\(113\) | 1.87895e11 | + | 1.87895e11i | 0.959366 | + | 0.959366i | 0.999206 | − | 0.0398404i | \(-0.0126850\pi\) |
−0.0398404 | + | 0.999206i | \(0.512685\pi\) | |||||||
\(114\) | 2.18114e11 | + | 6.44967e10i | 1.06098 | + | 0.313733i | ||||
\(115\) | 8.93813e10 | + | 8.76630e10i | 0.414389 | + | 0.406423i | ||||
\(116\) | 1.13028e11i | 0.499651i | ||||||||
\(117\) | −3.30310e10 | − | 1.54683e11i | −0.139283 | − | 0.652258i | ||||
\(118\) | 2.42870e11 | − | 2.42870e11i | 0.977287 | − | 0.977287i | ||||
\(119\) | −2.59341e11 | −0.996239 | ||||||||
\(120\) | −1.92685e11 | − | 5.49497e10i | −0.706890 | − | 0.201590i | ||||
\(121\) | 2.82218e11 | 0.989158 | ||||||||
\(122\) | 2.50524e11 | − | 2.50524e11i | 0.839208 | − | 0.839208i | ||||
\(123\) | 2.65787e11 | + | 4.88969e11i | 0.851246 | + | 1.56604i | ||||
\(124\) | − | 1.99775e11i | − | 0.611959i | ||||||
\(125\) | 3.41052e11 | − | 9.93237e9i | 0.999576 | − | 0.0291104i | ||||
\(126\) | 3.34918e11 | − | 5.16793e11i | 0.939509 | − | 1.44970i | ||||
\(127\) | 2.27468e11 | + | 2.27468e11i | 0.610941 | + | 0.610941i | 0.943191 | − | 0.332250i | \(-0.107808\pi\) |
−0.332250 | + | 0.943191i | \(0.607808\pi\) | |||||||
\(128\) | −3.24569e11 | − | 3.24569e11i | −0.834934 | − | 0.834934i | ||||
\(129\) | −1.06274e10 | + | 3.59394e10i | −0.0261928 | + | 0.0885784i | ||||
\(130\) | 3.21026e9 | + | 3.30779e11i | 0.00758318 | + | 0.781357i | ||||
\(131\) | 6.52427e11i | 1.47754i | 0.673957 | + | 0.738771i | \(0.264593\pi\) | ||||
−0.673957 | + | 0.738771i | \(0.735407\pi\) | |||||||
\(132\) | 1.56930e10 | − | 8.53014e9i | 0.0340838 | − | 0.0185268i | ||||
\(133\) | −4.72568e11 | + | 4.72568e11i | −0.984647 | + | 0.984647i | ||||
\(134\) | −2.49338e11 | −0.498555 | ||||||||
\(135\) | 3.51009e10 | − | 5.19814e11i | 0.0673725 | − | 0.997728i | ||||
\(136\) | −2.69466e11 | −0.496638 | ||||||||
\(137\) | −6.39965e11 | + | 6.39965e11i | −1.13290 | + | 1.13290i | −0.143212 | + | 0.989692i | \(0.545743\pi\) |
−0.989692 | + | 0.143212i | \(0.954257\pi\) | |||||||
\(138\) | −3.51269e11 | + | 1.90937e11i | −0.597454 | + | 0.324755i | ||||
\(139\) | − | 9.51431e11i | − | 1.55523i | −0.628738 | − | 0.777617i | \(-0.716428\pi\) | ||
0.628738 | − | 0.777617i | \(-0.283572\pi\) | |||||||
\(140\) | −2.44793e11 | + | 2.49592e11i | −0.384676 | + | 0.392216i | ||||
\(141\) | 2.34316e11 | − | 7.92407e11i | 0.354076 | − | 1.19741i | ||||
\(142\) | 2.89870e11 | + | 2.89870e11i | 0.421326 | + | 0.421326i | ||||
\(143\) | 3.51143e10 | + | 3.51143e10i | 0.0491061 | + | 0.0491061i | ||||
\(144\) | 4.98545e11 | − | 7.69275e11i | 0.670981 | − | 1.03535i | ||||
\(145\) | −1.03504e12 | + | 1.00452e10i | −1.34102 | + | 0.0130147i | ||||
\(146\) | 1.41746e11i | 0.176836i | ||||||||
\(147\) | 4.66706e11 | + | 8.58601e11i | 0.560787 | + | 1.03168i | ||||
\(148\) | −2.60758e11 | + | 2.60758e11i | −0.301855 | + | 0.301855i | ||||
\(149\) | −7.48036e11 | −0.834446 | −0.417223 | − | 0.908804i | \(-0.636997\pi\) | ||||
−0.417223 | + | 0.908804i | \(0.636997\pi\) | |||||||
\(150\) | −2.88636e11 | + | 1.05068e12i | −0.310347 | + | 1.12972i | ||||
\(151\) | 4.28642e11 | 0.444346 | 0.222173 | − | 0.975007i | \(-0.428685\pi\) | ||||
0.222173 | + | 0.975007i | \(0.428685\pi\) | |||||||
\(152\) | −4.91017e11 | + | 4.91017e11i | −0.490859 | + | 0.490859i | ||||
\(153\) | −1.46322e11 | − | 6.85219e11i | −0.141093 | − | 0.660734i | ||||
\(154\) | 1.93346e11i | 0.179875i | ||||||||
\(155\) | 1.82942e12 | − | 1.77548e10i | 1.64244 | − | 0.0159401i | ||||
\(156\) | −2.74978e11 | − | 8.13114e10i | −0.238293 | − | 0.0704638i | ||||
\(157\) | −1.71815e11 | − | 1.71815e11i | −0.143752 | − | 0.143752i | 0.631568 | − | 0.775320i | \(-0.282411\pi\) |
−0.775320 | + | 0.631568i | \(0.782411\pi\) | |||||||
\(158\) | −8.98292e11 | − | 8.98292e11i | −0.725778 | − | 0.725778i | ||||
\(159\) | −2.63827e11 | − | 7.80142e10i | −0.205890 | − | 0.0608821i | ||||
\(160\) | −6.59736e11 | + | 6.72667e11i | −0.497405 | + | 0.507155i | ||||
\(161\) | − | 1.17475e12i | − | 0.855862i | ||||||
\(162\) | 1.55441e12 | + | 5.93328e11i | 1.09454 | + | 0.417794i | ||||
\(163\) | 1.17074e12 | − | 1.17074e12i | 0.796947 | − | 0.796947i | −0.185666 | − | 0.982613i | \(-0.559444\pi\) |
0.982613 | + | 0.185666i | \(0.0594443\pi\) | |||||||
\(164\) | 1.00895e12 | 0.664092 | ||||||||
\(165\) | 7.95087e10 | + | 1.42949e11i | 0.0506119 | + | 0.0909952i | ||||
\(166\) | 1.56531e12 | 0.963843 | ||||||||
\(167\) | 1.53598e12 | − | 1.53598e12i | 0.915051 | − | 0.915051i | −0.0816127 | − | 0.996664i | \(-0.526007\pi\) |
0.996664 | + | 0.0816127i | \(0.0260071\pi\) | |||||||
\(168\) | 8.97893e11 | + | 1.65186e12i | 0.517635 | + | 0.952297i | ||||
\(169\) | 9.94934e11i | 0.555159i | ||||||||
\(170\) | 1.42209e10 | + | 1.46530e12i | 0.00768171 | + | 0.791510i | ||||
\(171\) | −1.51522e12 | − | 9.81971e11i | −0.792497 | − | 0.513594i | ||||
\(172\) | 4.80434e10 | + | 4.80434e10i | 0.0243348 | + | 0.0243348i | ||||
\(173\) | 6.87025e11 | + | 6.87025e11i | 0.337069 | + | 0.337069i | 0.855263 | − | 0.518194i | \(-0.173395\pi\) |
−0.518194 | + | 0.855263i | \(0.673395\pi\) | |||||||
\(174\) | 9.37334e11 | − | 3.16986e12i | 0.445527 | − | 1.50668i | ||||
\(175\) | −2.30737e12 | − | 2.21949e12i | −1.06269 | − | 1.02222i | ||||
\(176\) | 2.87806e11i | 0.128464i | ||||||||
\(177\) | −2.39557e12 | + | 1.30215e12i | −1.03647 | + | 0.563389i | ||||
\(178\) | −6.59647e11 | + | 6.59647e11i | −0.276695 | + | 0.276695i | ||||
\(179\) | 1.31234e12 | 0.533769 | 0.266884 | − | 0.963729i | \(-0.414006\pi\) | ||||
0.266884 | + | 0.963729i | \(0.414006\pi\) | |||||||
\(180\) | −7.97572e11 | − | 5.05960e11i | −0.314609 | − | 0.199580i | ||||
\(181\) | 2.03204e12 | 0.777498 | 0.388749 | − | 0.921344i | \(-0.372907\pi\) | ||||
0.388749 | + | 0.921344i | \(0.372907\pi\) | |||||||
\(182\) | 2.19484e12 | − | 2.19484e12i | 0.814722 | − | 0.814722i | ||||
\(183\) | −2.47107e12 | + | 1.34319e12i | −0.890029 | + | 0.483789i | ||||
\(184\) | − | 1.22061e12i | − | 0.426658i | ||||||
\(185\) | −2.41104e12 | − | 2.36469e12i | −0.818013 | − | 0.802288i | ||||
\(186\) | −1.65672e12 | + | 5.60268e12i | −0.545669 | + | 1.84533i | ||||
\(187\) | 1.55551e11 | + | 1.55551e11i | 0.0497442 | + | 0.0497442i | ||||
\(188\) | −1.05928e12 | − | 1.05928e12i | −0.328960 | − | 0.328960i | ||||
\(189\) | −3.71292e12 | + | 3.18021e12i | −1.11989 | + | 0.959214i | ||||
\(190\) | 2.69596e12 | + | 2.64413e12i | 0.789893 | + | 0.774708i | ||||
\(191\) | − | 1.22025e12i | − | 0.347350i | −0.984803 | − | 0.173675i | \(-0.944436\pi\) | ||
0.984803 | − | 0.173675i | \(-0.0555642\pi\) | |||||||
\(192\) | 6.93273e11 | + | 1.27542e12i | 0.191755 | + | 0.352774i | ||||
\(193\) | 1.22556e12 | − | 1.22556e12i | 0.329435 | − | 0.329435i | −0.522936 | − | 0.852372i | \(-0.675163\pi\) |
0.852372 | + | 0.522936i | \(0.175163\pi\) | |||||||
\(194\) | −3.47239e12 | −0.907234 | ||||||||
\(195\) | 7.20163e11 | − | 2.52531e12i | 0.182911 | − | 0.641393i | ||||
\(196\) | 1.77166e12 | 0.437493 | ||||||||
\(197\) | −1.43636e12 | + | 1.43636e12i | −0.344904 | + | 0.344904i | −0.858207 | − | 0.513304i | \(-0.828421\pi\) |
0.513304 | + | 0.858207i | \(0.328421\pi\) | |||||||
\(198\) | −5.10849e11 | + | 1.09087e11i | −0.119298 | + | 0.0254750i | ||||
\(199\) | 1.44198e12i | 0.327543i | 0.986498 | + | 0.163771i | \(0.0523660\pi\) | ||||
−0.986498 | + | 0.163771i | \(0.947634\pi\) | |||||||
\(200\) | −2.39744e12 | − | 2.30614e12i | −0.529765 | − | 0.509589i | ||||
\(201\) | 1.89811e12 | + | 5.61274e11i | 0.408077 | + | 0.120669i | ||||
\(202\) | −5.10931e12 | − | 5.10931e12i | −1.06888 | − | 1.06888i | ||||
\(203\) | 6.86787e12 | + | 6.86787e12i | 1.39828 | + | 1.39828i | ||||
\(204\) | −1.21811e12 | − | 3.60196e11i | −0.241390 | − | 0.0713794i | ||||
\(205\) | 8.96691e10 | + | 9.23936e12i | 0.0172980 | + | 1.78236i | ||||
\(206\) | − | 3.14313e11i | − | 0.0590327i | ||||||
\(207\) | 3.10387e12 | − | 6.62801e11i | 0.567632 | − | 0.121212i | ||||
\(208\) | 3.26714e12 | − | 3.26714e12i | 0.581861 | − | 0.581861i | ||||
\(209\) | 5.66884e11 | 0.0983309 | ||||||||
\(210\) | 8.93507e12 | − | 4.96973e12i | 1.50970 | − | 0.839704i | ||||
\(211\) | −3.21613e12 | −0.529395 | −0.264698 | − | 0.964331i | \(-0.585272\pi\) | ||||
−0.264698 | + | 0.964331i | \(0.585272\pi\) | |||||||
\(212\) | −3.52682e11 | + | 3.52682e11i | −0.0565634 | + | 0.0565634i | ||||
\(213\) | −1.55415e12 | − | 2.85917e12i | −0.242887 | − | 0.446841i | ||||
\(214\) | 8.61210e12i | 1.31170i | ||||||||
\(215\) | −4.35683e11 | + | 4.44223e11i | −0.0646784 | + | 0.0659461i | ||||
\(216\) | −3.85787e12 | + | 3.30436e12i | −0.558280 | + | 0.478180i | ||||
\(217\) | −1.21388e13 | − | 1.21388e13i | −1.71257 | − | 1.71257i | ||||
\(218\) | −2.64722e12 | − | 2.64722e12i | −0.364149 | − | 0.364149i | ||||
\(219\) | 3.19077e11 | − | 1.07905e12i | 0.0428009 | − | 0.144744i | ||||
\(220\) | 2.96528e11 | − | 2.87784e9i | 0.0387918 | − | 0.000376480i | ||||
\(221\) | − | 3.53158e12i | − | 0.450621i | ||||||
\(222\) | 9.47541e12 | − | 5.15050e12i | 1.17939 | − | 0.641074i | ||||
\(223\) | 9.25140e11 | − | 9.25140e11i | 0.112339 | − | 0.112339i | −0.648703 | − | 0.761042i | \(-0.724688\pi\) |
0.761042 | + | 0.648703i | \(0.224688\pi\) | |||||||
\(224\) | 8.84097e12 | 1.04746 | ||||||||
\(225\) | 4.56240e12 | − | 7.34866e12i | 0.527460 | − | 0.849580i | ||||
\(226\) | −1.40885e13 | −1.58952 | ||||||||
\(227\) | −4.50902e12 | + | 4.50902e12i | −0.496523 | + | 0.496523i | −0.910354 | − | 0.413830i | \(-0.864191\pi\) |
0.413830 | + | 0.910354i | \(0.364191\pi\) | |||||||
\(228\) | −2.87596e12 | + | 1.56327e12i | −0.309130 | + | 0.168032i | ||||
\(229\) | 4.57505e12i | 0.480066i | 0.970765 | + | 0.240033i | \(0.0771582\pi\) | ||||
−0.970765 | + | 0.240033i | \(0.922842\pi\) | |||||||
\(230\) | −6.63743e12 | + | 6.44171e10i | −0.679981 | + | 0.00659930i | ||||
\(231\) | 4.35231e11 | − | 1.47186e12i | 0.0435366 | − | 0.147231i | ||||
\(232\) | 7.13598e12 | + | 7.13598e12i | 0.697060 | + | 0.697060i | ||||
\(233\) | 2.74585e12 | + | 2.74585e12i | 0.261950 | + | 0.261950i | 0.825846 | − | 0.563896i | \(-0.190698\pi\) |
−0.563896 | + | 0.825846i | \(0.690698\pi\) | |||||||
\(234\) | 7.03743e12 | + | 4.56075e12i | 0.655732 | + | 0.424961i | ||||
\(235\) | 9.60612e12 | − | 9.79440e12i | 0.874328 | − | 0.891466i | ||||
\(236\) | 4.94308e12i | 0.439523i | ||||||||
\(237\) | 4.81621e12 | + | 8.86042e12i | 0.418398 | + | 0.769730i | ||||
\(238\) | 9.72276e12 | − | 9.72276e12i | 0.825308 | − | 0.825308i | ||||
\(239\) | 1.86895e13 | 1.55028 | 0.775138 | − | 0.631792i | \(-0.217680\pi\) | ||||
0.775138 | + | 0.631792i | \(0.217680\pi\) | |||||||
\(240\) | 1.33004e13 | − | 7.39772e12i | 1.07821 | − | 0.599703i | ||||
\(241\) | 2.13946e13 | 1.69516 | 0.847579 | − | 0.530669i | \(-0.178059\pi\) | ||||
0.847579 | + | 0.530669i | \(0.178059\pi\) | |||||||
\(242\) | −1.05804e13 | + | 1.05804e13i | −0.819443 | + | 0.819443i | ||||
\(243\) | −1.04974e13 | − | 8.01580e12i | −0.794783 | − | 0.606894i | ||||
\(244\) | 5.09886e12i | 0.377423i | ||||||||
\(245\) | 1.57454e11 | + | 1.62238e13i | 0.0113957 | + | 1.17419i | ||||
\(246\) | −2.82959e13 | − | 8.36716e12i | −2.00254 | − | 0.592155i | ||||
\(247\) | −6.43520e12 | − | 6.43520e12i | −0.445378 | − | 0.445378i | ||||
\(248\) | −1.26127e13 | − | 1.26127e13i | −0.853739 | − | 0.853739i | ||||
\(249\) | −1.19160e13 | − | 3.52360e12i | −0.788925 | − | 0.233287i | ||||
\(250\) | −1.24138e13 | + | 1.31585e13i | −0.803958 | + | 0.852189i | ||||
\(251\) | − | 3.63600e12i | − | 0.230366i | −0.993344 | − | 0.115183i | \(-0.963255\pi\) | ||
0.993344 | − | 0.115183i | \(-0.0367454\pi\) | |||||||
\(252\) | 1.85083e12 | + | 8.66736e12i | 0.114726 | + | 0.537259i | ||||
\(253\) | −7.04605e11 | + | 7.04605e11i | −0.0427349 | + | 0.0427349i | ||||
\(254\) | −1.70556e13 | −1.01224 | ||||||||
\(255\) | 3.19020e12 | − | 1.11867e13i | 0.185288 | − | 0.649727i | ||||
\(256\) | 1.72727e13 | 0.981838 | ||||||||
\(257\) | −1.95072e13 | + | 1.95072e13i | −1.08533 | + | 1.08533i | −0.0893287 | + | 0.996002i | \(0.528472\pi\) |
−0.996002 | + | 0.0893287i | \(0.971528\pi\) | |||||||
\(258\) | −9.48955e11 | − | 1.74580e12i | −0.0516817 | − | 0.0950792i | ||||
\(259\) | 3.16887e13i | 1.68949i | ||||||||
\(260\) | −3.39881e12 | − | 3.33347e12i | −0.177408 | − | 0.173998i | ||||
\(261\) | −1.42711e13 | + | 2.20208e13i | −0.729345 | + | 1.12541i | ||||
\(262\) | −2.44596e13 | − | 2.44596e13i | −1.22403 | − | 1.22403i | ||||
\(263\) | 5.04148e12 | + | 5.04148e12i | 0.247059 | + | 0.247059i | 0.819763 | − | 0.572703i | \(-0.194105\pi\) |
−0.572703 | + | 0.819763i | \(0.694105\pi\) | |||||||
\(264\) | 4.52222e11 | − | 1.52932e12i | 0.0217035 | − | 0.0733967i | ||||
\(265\) | −3.26099e12 | − | 3.19830e12i | −0.153284 | − | 0.150337i | ||||
\(266\) | − | 3.54334e13i | − | 1.63141i | ||||||
\(267\) | 6.50651e12 | − | 3.53671e12i | 0.293451 | − | 0.159510i | ||||
\(268\) | 2.53737e12 | − | 2.53737e12i | 0.112109 | − | 0.112109i | ||||
\(269\) | −8.15175e12 | −0.352869 | −0.176434 | − | 0.984312i | \(-0.556456\pi\) | ||||
−0.176434 | + | 0.984312i | \(0.556456\pi\) | |||||||
\(270\) | 1.81720e13 | + | 2.08039e13i | 0.770729 | + | 0.882355i | ||||
\(271\) | 1.26813e13 | 0.527027 | 0.263513 | − | 0.964656i | \(-0.415119\pi\) | ||||
0.263513 | + | 0.964656i | \(0.415119\pi\) | |||||||
\(272\) | 1.44729e13 | − | 1.44729e13i | 0.589421 | − | 0.589421i | ||||
\(273\) | −2.16490e13 | + | 1.17677e13i | −0.864060 | + | 0.469673i | ||||
\(274\) | − | 4.79849e13i | − | 1.87705i | ||||||
\(275\) | 5.27071e10 | + | 2.71517e12i | 0.00202087 | + | 0.104104i | ||||
\(276\) | 1.63160e12 | − | 5.51771e12i | 0.0613215 | − | 0.207376i | ||||
\(277\) | 1.01118e13 | + | 1.01118e13i | 0.372554 | + | 0.372554i | 0.868407 | − | 0.495853i | \(-0.165144\pi\) |
−0.495853 | + | 0.868407i | \(0.665144\pi\) | |||||||
\(278\) | 3.56693e13 | + | 3.56693e13i | 1.28839 | + | 1.28839i | ||||
\(279\) | 2.52239e13 | − | 3.89215e13i | 0.893282 | − | 1.37837i | ||||
\(280\) | 3.02925e11 | + | 3.12129e13i | 0.0105188 | + | 1.08384i | ||||
\(281\) | 1.28758e13i | 0.438418i | 0.975678 | + | 0.219209i | \(0.0703477\pi\) | ||||
−0.975678 | + | 0.219209i | \(0.929652\pi\) | |||||||
\(282\) | 2.09229e13 | + | 3.84920e13i | 0.698638 | + | 1.28529i | ||||
\(283\) | −1.06470e13 | + | 1.06470e13i | −0.348661 | + | 0.348661i | −0.859611 | − | 0.510950i | \(-0.829294\pi\) |
0.510950 | + | 0.859611i | \(0.329294\pi\) | |||||||
\(284\) | −5.89968e12 | −0.189486 | ||||||||
\(285\) | −1.45711e13 | − | 2.61974e13i | −0.459035 | − | 0.825299i | ||||
\(286\) | −2.63289e12 | −0.0813615 | ||||||||
\(287\) | 6.13064e13 | − | 6.13064e13i | 1.85847 | − | 1.85847i | ||||
\(288\) | 4.98812e12 | + | 2.33592e13i | 0.148347 | + | 0.694702i | ||||
\(289\) | 1.86276e13i | 0.543524i | ||||||||
\(290\) | 3.84273e13 | − | 3.91805e13i | 1.10015 | − | 1.12171i | ||||
\(291\) | 2.64338e13 | + | 7.81654e12i | 0.742590 | + | 0.219585i | ||||
\(292\) | −1.44246e12 | − | 1.44246e12i | −0.0397648 | − | 0.0397648i | ||||
\(293\) | −2.44636e13 | − | 2.44636e13i | −0.661834 | − | 0.661834i | 0.293978 | − | 0.955812i | \(-0.405021\pi\) |
−0.955812 | + | 0.293978i | \(0.905021\pi\) | |||||||
\(294\) | −4.96860e13 | − | 1.46923e13i | −1.31924 | − | 0.390102i | ||||
\(295\) | −4.52658e13 | + | 4.39310e11i | −1.17964 | + | 0.0114485i | ||||
\(296\) | 3.29258e13i | 0.842232i | ||||||||
\(297\) | 4.13443e12 | + | 3.19516e11i | 0.103814 | + | 0.00802292i | ||||
\(298\) | 2.80440e13 | − | 2.80440e13i | 0.691275 | − | 0.691275i | ||||
\(299\) | 1.59972e13 | 0.387125 | ||||||||
\(300\) | −7.75489e12 | − | 1.36294e13i | −0.184251 | − | 0.323826i | ||||
\(301\) | 5.83848e12 | 0.136202 | ||||||||
\(302\) | −1.60699e13 | + | 1.60699e13i | −0.368107 | + | 0.368107i | ||||
\(303\) | 2.73937e13 | + | 5.03963e13i | 0.616192 | + | 1.13361i | ||||
\(304\) | − | 5.27445e13i | − | 1.16513i | ||||||
\(305\) | −4.66923e13 | + | 4.53155e11i | −1.01297 | + | 0.00983100i | ||||
\(306\) | 3.11746e13 | + | 2.02034e13i | 0.664253 | + | 0.430483i | ||||
\(307\) | −2.31565e13 | − | 2.31565e13i | −0.484632 | − | 0.484632i | 0.421976 | − | 0.906607i | \(-0.361337\pi\) |
−0.906607 | + | 0.421976i | \(0.861337\pi\) | |||||||
\(308\) | −1.96756e12 | − | 1.96756e12i | −0.0404483 | − | 0.0404483i | ||||
\(309\) | −7.07534e11 | + | 2.39273e12i | −0.0142881 | + | 0.0483194i | ||||
\(310\) | −6.79197e13 | + | 6.92510e13i | −1.34743 | + | 1.37384i | ||||
\(311\) | − | 2.95317e13i | − | 0.575581i | −0.957693 | − | 0.287790i | \(-0.907079\pi\) | ||
0.957693 | − | 0.287790i | \(-0.0929206\pi\) | |||||||
\(312\) | −2.24942e13 | + | 1.22271e13i | −0.430745 | + | 0.234138i | ||||
\(313\) | −3.21868e13 | + | 3.21868e13i | −0.605597 | + | 0.605597i | −0.941792 | − | 0.336195i | \(-0.890860\pi\) |
0.336195 | + | 0.941792i | \(0.390860\pi\) | |||||||
\(314\) | 1.28828e13 | 0.238175 | ||||||||
\(315\) | −7.92060e13 | + | 1.77191e13i | −1.43896 | + | 0.321909i | ||||
\(316\) | 1.82828e13 | 0.326410 | ||||||||
\(317\) | 3.70619e13 | − | 3.70619e13i | 0.650282 | − | 0.650282i | −0.302779 | − | 0.953061i | \(-0.597914\pi\) |
0.953061 | + | 0.302779i | \(0.0979143\pi\) | |||||||
\(318\) | 1.28157e13 | − | 6.96617e12i | 0.221001 | − | 0.120128i | ||||
\(319\) | − | 8.23857e12i | − | 0.139638i | ||||||
\(320\) | 2.33891e11 | + | 2.40998e13i | 0.00389663 | + | 0.401502i | ||||
\(321\) | 1.93863e13 | − | 6.55602e13i | 0.317480 | − | 1.07365i | ||||
\(322\) | 4.40417e13 | + | 4.40417e13i | 0.709017 | + | 0.709017i | ||||
\(323\) | −2.85069e13 | − | 2.85069e13i | −0.451165 | − | 0.451165i | ||||
\(324\) | −2.18562e13 | + | 9.78034e12i | −0.340077 | + | 0.152180i | ||||
\(325\) | 3.02239e13 | − | 3.14206e13i | 0.462373 | − | 0.480679i | ||||
\(326\) | 8.77827e13i | 1.32042i | ||||||||
\(327\) | 1.41931e13 | + | 2.61112e13i | 0.209926 | + | 0.386201i | ||||
\(328\) | 6.36997e13 | − | 6.36997e13i | 0.926470 | − | 0.926470i | ||||
\(329\) | −1.28729e14 | −1.84120 | ||||||||
\(330\) | −8.33997e12 | − | 2.37838e12i | −0.117311 | − | 0.0334545i | ||||
\(331\) | 9.26878e13 | 1.28224 | 0.641119 | − | 0.767441i | \(-0.278470\pi\) | ||||
0.641119 | + | 0.767441i | \(0.278470\pi\) | |||||||
\(332\) | −1.59292e13 | + | 1.59292e13i | −0.216738 | + | 0.216738i | ||||
\(333\) | −8.37263e13 | + | 1.78789e13i | −1.12052 | + | 0.239276i | ||||
\(334\) | 1.15169e14i | 1.51610i | ||||||||
\(335\) | 2.34612e13 | + | 2.30102e13i | 0.303811 | + | 0.297971i | ||||
\(336\) | −1.36946e14 | − | 4.04952e13i | −1.74455 | − | 0.515866i | ||||
\(337\) | 3.00431e13 | + | 3.00431e13i | 0.376513 | + | 0.376513i | 0.869842 | − | 0.493330i | \(-0.164220\pi\) |
−0.493330 | + | 0.869842i | \(0.664220\pi\) | |||||||
\(338\) | −3.73003e13 | − | 3.73003e13i | −0.459907 | − | 0.459907i | ||||
\(339\) | 1.07249e14 | + | 3.17138e13i | 1.30106 | + | 0.384725i | ||||
\(340\) | −1.50562e13 | − | 1.47667e13i | −0.179713 | − | 0.176259i | ||||
\(341\) | 1.45615e13i | 0.171024i | ||||||||
\(342\) | 9.36203e13 | − | 1.99917e13i | 1.08200 | − | 0.231050i | ||||
\(343\) | 1.59741e13 | − | 1.59741e13i | 0.181677 | − | 0.181677i | ||||
\(344\) | 6.06642e12 | 0.0678986 | ||||||||
\(345\) | 5.06729e13 | + | 1.44508e13i | 0.558176 | + | 0.159180i | ||||
\(346\) | −5.15134e13 | −0.558473 | ||||||||
\(347\) | −2.84539e13 | + | 2.84539e13i | −0.303619 | + | 0.303619i | −0.842428 | − | 0.538809i | \(-0.818874\pi\) |
0.538809 | + | 0.842428i | \(0.318874\pi\) | |||||||
\(348\) | 2.27191e13 | + | 4.17965e13i | 0.238619 | + | 0.438989i | ||||
\(349\) | − | 1.78493e14i | − | 1.84536i | −0.385571 | − | 0.922678i | \(-0.625996\pi\) | ||
0.385571 | − | 0.922678i | \(-0.374004\pi\) | |||||||
\(350\) | 1.69713e14 | − | 3.29448e12i | 1.72719 | − | 0.0335284i | ||||
\(351\) | −4.33064e13 | − | 5.05607e13i | −0.433874 | − | 0.506551i | ||||
\(352\) | −5.30273e12 | − | 5.30273e12i | −0.0523016 | − | 0.0523016i | ||||
\(353\) | 9.49048e12 | + | 9.49048e12i | 0.0921568 | + | 0.0921568i | 0.751682 | − | 0.659525i | \(-0.229243\pi\) |
−0.659525 | + | 0.751682i | \(0.729243\pi\) | |||||||
\(354\) | 4.09927e13 | − | 1.38628e14i | 0.391912 | − | 1.32536i | ||||
\(355\) | −5.24327e11 | − | 5.40257e13i | −0.00493567 | − | 0.508563i | ||||
\(356\) | − | 1.34257e13i | − | 0.124440i | ||||||
\(357\) | −9.59017e13 | + | 5.21288e13i | −0.875288 | + | 0.475776i | ||||
\(358\) | −4.91997e13 | + | 4.91997e13i | −0.442187 | + | 0.442187i | ||||
\(359\) | 7.78654e13 | 0.689168 | 0.344584 | − | 0.938756i | \(-0.388020\pi\) | ||||
0.344584 | + | 0.938756i | \(0.388020\pi\) | |||||||
\(360\) | −8.22982e13 | + | 1.84108e13i | −0.717342 | + | 0.160476i | ||||
\(361\) | 1.26006e13 | 0.108169 | ||||||||
\(362\) | −7.61814e13 | + | 7.61814e13i | −0.644098 | + | 0.644098i | ||||
\(363\) | 1.04361e14 | − | 5.67272e13i | 0.869067 | − | 0.472394i | ||||
\(364\) | 4.46711e13i | 0.366411i | ||||||||
\(365\) | 1.30810e13 | − | 1.33374e13i | 0.105689 | − | 0.107761i | ||||
\(366\) | 4.22846e13 | − | 1.42997e14i | 0.336539 | − | 1.13810i | ||||
\(367\) | −1.49313e14 | − | 1.49313e14i | −1.17067 | − | 1.17067i | −0.982050 | − | 0.188622i | \(-0.939598\pi\) |
−0.188622 | − | 0.982050i | \(-0.560402\pi\) | |||||||
\(368\) | 6.55585e13 | + | 6.55585e13i | 0.506368 | + | 0.506368i | ||||
\(369\) | 1.96570e14 | + | 1.27391e14i | 1.49580 | + | 0.969382i | ||||
\(370\) | 1.79043e14 | − | 1.73764e12i | 1.34230 | − | 0.0130272i | ||||
\(371\) | 4.28597e13i | 0.316587i | ||||||||
\(372\) | −4.01557e13 | − | 7.38747e13i | −0.292254 | − | 0.537662i | ||||
\(373\) | −1.72842e14 | + | 1.72842e14i | −1.23951 | + | 1.23951i | −0.279308 | + | 0.960201i | \(0.590105\pi\) |
−0.960201 | + | 0.279308i | \(0.909895\pi\) | |||||||
\(374\) | −1.16632e13 | −0.0824187 | ||||||||
\(375\) | 1.24121e14 | − | 7.22259e13i | 0.864318 | − | 0.502946i | ||||
\(376\) | −1.33755e14 | −0.917859 | ||||||||
\(377\) | −9.35232e13 | + | 9.35232e13i | −0.632473 | + | 0.632473i | ||||
\(378\) | 1.99715e13 | − | 2.58425e14i | 0.133109 | − | 1.72238i | ||||
\(379\) | 2.55919e14i | 1.68107i | 0.541754 | + | 0.840537i | \(0.317760\pi\) | ||||
−0.541754 | + | 0.840537i | \(0.682240\pi\) | |||||||
\(380\) | −5.43429e13 | + | 5.27405e11i | −0.351830 | + | 0.00341456i | ||||
\(381\) | 1.29837e14 | + | 3.83931e13i | 0.828537 | + | 0.245000i | ||||
\(382\) | 4.57476e13 | + | 4.57476e13i | 0.287753 | + | 0.287753i | ||||
\(383\) | −1.56911e14 | − | 1.56911e14i | −0.972883 | − | 0.972883i | 0.0267587 | − | 0.999642i | \(-0.491481\pi\) |
−0.999642 | + | 0.0267587i | \(0.991481\pi\) | |||||||
\(384\) | −1.85262e14 | − | 5.47823e13i | −1.13231 | − | 0.334825i | ||||
\(385\) | 1.78429e13 | − | 1.81926e13i | 0.107506 | − | 0.109613i | ||||
\(386\) | 9.18932e13i | 0.545825i | ||||||||
\(387\) | 3.29411e12 | + | 1.54262e13i | 0.0192898 | + | 0.0903332i | ||||
\(388\) | 3.53365e13 | − | 3.53365e13i | 0.204009 | − | 0.204009i | ||||
\(389\) | −1.06415e14 | −0.605730 | −0.302865 | − | 0.953033i | \(-0.597943\pi\) | ||||
−0.302865 | + | 0.953033i | \(0.597943\pi\) | |||||||
\(390\) | 6.76752e13 | + | 1.21673e14i | 0.379817 | + | 0.682873i | ||||
\(391\) | 7.08648e13 | 0.392156 | ||||||||
\(392\) | 1.11853e14 | − | 1.11853e14i | 0.610343 | − | 0.610343i | ||||
\(393\) | 1.31141e14 | + | 2.41260e14i | 0.705633 | + | 1.29816i | ||||
\(394\) | − | 1.07699e14i | − | 0.571453i | ||||||
\(395\) | 1.62486e12 | + | 1.67423e14i | 0.00850221 | + | 0.876053i | ||||
\(396\) | 4.08849e12 | − | 6.30871e12i | 0.0210979 | − | 0.0325550i | ||||
\(397\) | −4.67234e13 | − | 4.67234e13i | −0.237786 | − | 0.237786i | 0.578147 | − | 0.815933i | \(-0.303776\pi\) |
−0.815933 | + | 0.578147i | \(0.803776\pi\) | |||||||
\(398\) | −5.40603e13 | − | 5.40603e13i | −0.271345 | − | 0.271345i | ||||
\(399\) | −7.97623e13 | + | 2.69739e14i | −0.394863 | + | 1.33534i | ||||
\(400\) | 2.52627e14 | − | 4.90402e12i | 1.23353 | − | 0.0239454i | ||||
\(401\) | − | 1.16339e14i | − | 0.560313i | −0.959954 | − | 0.280157i | \(-0.909614\pi\) | ||
0.959954 | − | 0.280157i | \(-0.0903864\pi\) | |||||||
\(402\) | −9.22027e13 | + | 5.01181e13i | −0.438026 | + | 0.238096i | ||||
\(403\) | 1.65301e14 | − | 1.65301e14i | 0.774635 | − | 0.774635i | ||||
\(404\) | 1.03989e14 | 0.480717 | ||||||||
\(405\) | −9.15050e13 | − | 1.99277e14i | −0.417294 | − | 0.908772i | ||||
\(406\) | −5.14955e14 | −2.31674 | ||||||||
\(407\) | 1.90066e13 | − | 1.90066e13i | 0.0843597 | − | 0.0843597i | ||||
\(408\) | −9.96456e13 | + | 5.41639e13i | −0.436342 | + | 0.237180i | ||||
\(409\) | 1.31811e14i | 0.569472i | 0.958606 | + | 0.284736i | \(0.0919059\pi\) | ||||
−0.958606 | + | 0.284736i | \(0.908094\pi\) | |||||||
\(410\) | −3.49747e14 | − | 3.43024e14i | −1.49088 | − | 1.46222i | ||||
\(411\) | −1.08016e14 | + | 3.65288e14i | −0.454318 | + | 1.53640i | ||||
\(412\) | 3.19857e12 | + | 3.19857e12i | 0.0132746 | + | 0.0132746i | ||||
\(413\) | 3.00354e14 | + | 3.00354e14i | 1.23001 | + | 1.23001i | ||||
\(414\) | −9.15162e13 | + | 1.41213e14i | −0.369825 | + | 0.570655i | ||||
\(415\) | −1.47286e14 | − | 1.44455e14i | −0.587351 | − | 0.576060i | ||||
\(416\) | 1.20392e14i | 0.473788i | ||||||||
\(417\) | −1.91242e14 | − | 3.51829e14i | −0.742737 | − | 1.36642i | ||||
\(418\) | −2.12526e13 | + | 2.12526e13i | −0.0814597 | + | 0.0814597i | ||||
\(419\) | −2.41692e14 | −0.914293 | −0.457146 | − | 0.889391i | \(-0.651128\pi\) | ||||
−0.457146 | + | 0.889391i | \(0.651128\pi\) | |||||||
\(420\) | −4.03530e13 | + | 1.41501e14i | −0.150662 | + | 0.528309i | ||||
\(421\) | 1.15430e14 | 0.425372 | 0.212686 | − | 0.977121i | \(-0.431779\pi\) | ||||
0.212686 | + | 0.977121i | \(0.431779\pi\) | |||||||
\(422\) | 1.20573e14 | − | 1.20573e14i | 0.438564 | − | 0.438564i | ||||
\(423\) | −7.26297e13 | − | 3.40122e14i | −0.260761 | − | 1.22113i | ||||
\(424\) | 4.45329e13i | 0.157822i | ||||||||
\(425\) | 1.33887e14 | − | 1.39188e14i | 0.468381 | − | 0.486925i | ||||
\(426\) | 1.65456e14 | + | 4.89257e13i | 0.571387 | + | 0.168960i | ||||
\(427\) | 3.09820e14 | + | 3.09820e14i | 1.05622 | + | 1.05622i | ||||
\(428\) | −8.76402e13 | − | 8.76402e13i | −0.294960 | − | 0.294960i | ||||
\(429\) | 2.00430e13 | + | 5.92676e12i | 0.0665960 | + | 0.0196926i | ||||
\(430\) | −3.20151e11 | − | 3.29879e13i | −0.00105022 | − | 0.108213i | ||||
\(431\) | − | 2.25269e14i | − | 0.729587i | −0.931089 | − | 0.364793i | \(-0.881140\pi\) | ||
0.931089 | − | 0.364793i | \(-0.118860\pi\) | |||||||
\(432\) | 2.97287e13 | − | 3.84680e14i | 0.0950638 | − | 1.23009i | ||||
\(433\) | 1.67103e14 | − | 1.67103e14i | 0.527597 | − | 0.527597i | −0.392258 | − | 0.919855i | \(-0.628306\pi\) |
0.919855 | + | 0.392258i | \(0.128306\pi\) | |||||||
\(434\) | 9.10176e14 | 2.83747 | ||||||||
\(435\) | −3.80728e14 | + | 2.11763e14i | −1.17199 | + | 0.651866i | ||||
\(436\) | 5.38784e13 | 0.163772 | ||||||||
\(437\) | 1.29129e14 | − | 1.29129e14i | 0.387593 | − | 0.387593i | ||||
\(438\) | 2.84916e13 | + | 5.24161e13i | 0.0844518 | + | 0.155366i | ||||
\(439\) | − | 1.10282e14i | − | 0.322812i | −0.986888 | − | 0.161406i | \(-0.948397\pi\) | ||
0.986888 | − | 0.161406i | \(-0.0516029\pi\) | |||||||
\(440\) | 1.85395e13 | − | 1.89029e13i | 0.0535930 | − | 0.0546435i | ||||
\(441\) | 3.45166e14 | + | 2.23692e14i | 0.985406 | + | 0.638613i | ||||
\(442\) | 1.32400e14 | + | 1.32400e14i | 0.373306 | + | 0.373306i | ||||
\(443\) | 2.12623e14 | + | 2.12623e14i | 0.592093 | + | 0.592093i | 0.938196 | − | 0.346104i | \(-0.112495\pi\) |
−0.346104 | + | 0.938196i | \(0.612495\pi\) | |||||||
\(444\) | −4.40120e13 | + | 1.48839e14i | −0.121050 | + | 0.409365i | ||||
\(445\) | 1.22944e14 | − | 1.19319e12i | 0.333986 | − | 0.00324138i | ||||
\(446\) | 6.93674e13i | 0.186129i | ||||||||
\(447\) | −2.76616e14 | + | 1.50359e14i | −0.733138 | + | 0.398508i | ||||
\(448\) | 1.59910e14 | − | 1.59910e14i | 0.418647 | − | 0.418647i | ||||
\(449\) | 2.09893e14 | 0.542803 | 0.271402 | − | 0.962466i | \(-0.412513\pi\) | ||||
0.271402 | + | 0.962466i | \(0.412513\pi\) | |||||||
\(450\) | 1.04457e14 | + | 4.46548e14i | 0.266852 | + | 1.14077i | ||||
\(451\) | −7.35420e13 | −0.185594 | ||||||||
\(452\) | 1.43370e14 | − | 1.43370e14i | 0.357434 | − | 0.357434i | ||||
\(453\) | 1.58507e14 | − | 8.61589e13i | 0.390399 | − | 0.212207i | ||||
\(454\) | − | 3.38088e14i | − | 0.822664i | ||||||
\(455\) | −4.09071e14 | + | 3.97009e12i | −0.983413 | + | 0.00954416i | ||||
\(456\) | −8.28762e13 | + | 2.80270e14i | −0.196844 | + | 0.665686i | ||||
\(457\) | −3.40714e13 | − | 3.40714e13i | −0.0799561 | − | 0.0799561i | 0.665998 | − | 0.745954i | \(-0.268006\pi\) |
−0.745954 | + | 0.665998i | \(0.768006\pi\) | |||||||
\(458\) | −1.71520e14 | − | 1.71520e14i | −0.397698 | − | 0.397698i | ||||
\(459\) | −1.91840e14 | − | 2.23975e14i | −0.439512 | − | 0.513134i | ||||
\(460\) | 6.68896e13 | − | 6.82007e13i | 0.151423 | − | 0.154391i | ||||
\(461\) | − | 8.31120e14i | − | 1.85913i | −0.368663 | − | 0.929563i | \(-0.620184\pi\) | ||
0.368663 | − | 0.929563i | \(-0.379816\pi\) | |||||||
\(462\) | 3.88634e13 | + | 7.14972e13i | 0.0859033 | + | 0.158037i | ||||
\(463\) | −5.49396e14 | + | 5.49396e14i | −1.20002 | + | 1.20002i | −0.225865 | + | 0.974159i | \(0.572521\pi\) |
−0.974159 | + | 0.225865i | \(0.927479\pi\) | |||||||
\(464\) | −7.66540e14 | −1.65457 | ||||||||
\(465\) | 6.72932e14 | − | 3.74287e14i | 1.43542 | − | 0.798388i | ||||
\(466\) | −2.05885e14 | −0.434012 | ||||||||
\(467\) | −1.39727e14 | + | 1.39727e14i | −0.291097 | + | 0.291097i | −0.837514 | − | 0.546416i | \(-0.815992\pi\) |
0.546416 | + | 0.837514i | \(0.315992\pi\) | |||||||
\(468\) | −1.18028e14 | + | 2.52037e13i | −0.243014 | + | 0.0518933i | ||||
\(469\) | − | 3.08354e14i | − | 0.627479i | ||||||
\(470\) | 7.05883e12 | + | 7.27329e14i | 0.0141969 | + | 1.46283i | ||||
\(471\) | −9.80709e13 | − | 2.89997e13i | −0.194951 | − | 0.0576473i | ||||
\(472\) | 3.12080e14 | + | 3.12080e14i | 0.613175 | + | 0.613175i | ||||
\(473\) | −3.50187e12 | − | 3.50187e12i | −0.00680086 | − | 0.00680086i | ||||
\(474\) | −5.12740e14 | − | 1.51618e14i | −0.984274 | − | 0.291052i | ||||
\(475\) | −9.65932e12 | − | 4.97593e14i | −0.0183287 | − | 0.944190i | ||||
\(476\) | 1.97885e14i | 0.371172i | ||||||||
\(477\) | −1.13242e14 | + | 2.41817e13i | −0.209969 | + | 0.0448369i | ||||
\(478\) | −7.00673e14 | + | 7.00673e14i | −1.28429 | + | 1.28429i | ||||
\(479\) | −4.58603e14 | −0.830981 | −0.415491 | − | 0.909597i | \(-0.636390\pi\) | ||||
−0.415491 | + | 0.909597i | \(0.636390\pi\) | |||||||
\(480\) | −1.08754e14 | + | 3.81355e14i | −0.194814 | + | 0.683129i | ||||
\(481\) | −4.31521e14 | −0.764194 | ||||||||
\(482\) | −8.02088e14 | + | 8.02088e14i | −1.40431 | + | 1.40431i | ||||
\(483\) | −2.36130e14 | − | 4.34410e14i | −0.408736 | − | 0.751954i | ||||
\(484\) | − | 2.15341e14i | − | 0.368534i | ||||||
\(485\) | 3.26731e14 | + | 3.20450e14i | 0.552854 | + | 0.542226i | ||||
\(486\) | 6.94065e14 | − | 9.30369e13i | 1.16118 | − | 0.155652i | ||||
\(487\) | 3.32018e14 | + | 3.32018e14i | 0.549228 | + | 0.549228i | 0.926217 | − | 0.376990i | \(-0.123041\pi\) |
−0.376990 | + | 0.926217i | \(0.623041\pi\) | |||||||
\(488\) | 3.21915e14 | + | 3.21915e14i | 0.526541 | + | 0.526541i | ||||
\(489\) | 1.97603e14 | − | 6.68252e14i | 0.319592 | − | 1.08079i | ||||
\(490\) | −6.14135e14 | − | 6.02329e14i | −0.982168 | − | 0.963287i | ||||
\(491\) | − | 6.44188e14i | − | 1.01874i | −0.860547 | − | 0.509372i | \(-0.829878\pi\) | ||
0.860547 | − | 0.509372i | \(-0.170122\pi\) | |||||||
\(492\) | 3.73099e14 | − | 2.02803e14i | 0.583466 | − | 0.317152i | ||||
\(493\) | −4.14292e14 | + | 4.14292e14i | −0.640691 | + | 0.640691i | ||||
\(494\) | 4.82514e14 | 0.737924 | ||||||||
\(495\) | 5.81348e13 | + | 3.68793e13i | 0.0879240 | + | 0.0557769i | ||||
\(496\) | 1.35485e15 | 2.02648 | ||||||||
\(497\) | −3.58480e14 | + | 3.58480e14i | −0.530279 | + | 0.530279i | ||||
\(498\) | 5.78835e14 | − | 3.14635e14i | 0.846825 | − | 0.460304i | ||||
\(499\) | 3.35306e14i | 0.485164i | 0.970131 | + | 0.242582i | \(0.0779944\pi\) | ||||
−0.970131 | + | 0.242582i | \(0.922006\pi\) | |||||||
\(500\) | −7.57870e12 | − | 2.60233e14i | −0.0108458 | − | 0.372416i | ||||
\(501\) | 2.59250e14 | − | 8.76729e14i | 0.366954 | − | 1.24096i | ||||
\(502\) | 1.36314e14 | + | 1.36314e14i | 0.190841 | + | 0.190841i | ||||
\(503\) | 4.24232e14 | + | 4.24232e14i | 0.587461 | + | 0.587461i | 0.936943 | − | 0.349482i | \(-0.113642\pi\) |
−0.349482 | + | 0.936943i | \(0.613642\pi\) | |||||||
\(504\) | 6.64063e14 | + | 4.30360e14i | 0.909581 | + | 0.589473i | ||||
\(505\) | 9.24188e12 | + | 9.52268e14i | 0.0125215 | + | 1.29020i | ||||
\(506\) | − | 5.28316e13i | − | 0.0708053i | ||||||
\(507\) | 1.99986e14 | + | 3.67916e14i | 0.265129 | + | 0.487759i | ||||
\(508\) | 1.73565e14 | − | 1.73565e14i | 0.227621 | − | 0.227621i | ||||
\(509\) | −1.01770e14 | −0.132030 | −0.0660149 | − | 0.997819i | \(-0.521029\pi\) | ||||
−0.0660149 | + | 0.997819i | \(0.521029\pi\) | |||||||
\(510\) | 2.99790e14 | + | 5.38993e14i | 0.384752 | + | 0.691747i | ||||
\(511\) | −1.75296e14 | −0.222565 | ||||||||
\(512\) | 1.71611e13 | − | 1.71611e13i | 0.0215556 | − | 0.0215556i | ||||
\(513\) | −7.57694e14 | − | 5.85559e13i | −0.941560 | − | 0.0727654i | ||||
\(514\) | − | 1.46266e15i | − | 1.79823i | ||||||
\(515\) | −2.90064e13 | + | 2.95749e13i | −0.0352820 | + | 0.0359736i | ||||
\(516\) | 2.74229e13 | + | 8.10900e12i | 0.0330020 | + | 0.00975874i | ||||
\(517\) | 7.72106e13 | + | 7.72106e13i | 0.0919346 | + | 0.0919346i | ||||
\(518\) | −1.18802e15 | − | 1.18802e15i | −1.39961 | − | 1.39961i | ||||
\(519\) | 3.92150e14 | + | 1.15959e14i | 0.457121 | + | 0.135172i | ||||
\(520\) | −4.25041e14 | + | 4.12508e12i | −0.490244 | + | 0.00475788i | ||||
\(521\) | 1.19954e15i | 1.36901i | 0.729008 | + | 0.684505i | \(0.239981\pi\) | ||||
−0.729008 | + | 0.684505i | \(0.760019\pi\) | |||||||
\(522\) | −2.90541e14 | − | 1.36059e15i | −0.328110 | − | 1.53652i | ||||
\(523\) | 1.65527e14 | − | 1.65527e14i | 0.184973 | − | 0.184973i | −0.608546 | − | 0.793519i | \(-0.708247\pi\) |
0.793519 | + | 0.608546i | \(0.208247\pi\) | |||||||
\(524\) | 4.97822e14 | 0.550493 | ||||||||
\(525\) | −1.29937e15 | − | 3.56953e14i | −1.42186 | − | 0.390602i | ||||
\(526\) | −3.78012e14 | −0.409340 | ||||||||
\(527\) | 7.32255e14 | − | 7.32255e14i | 0.784700 | − | 0.784700i | ||||
\(528\) | 5.78503e13 | + | 1.06428e14i | 0.0613506 | + | 0.112867i | ||||
\(529\) | − | 6.31810e14i | − | 0.663102i | ||||||
\(530\) | 2.42160e14 | − | 2.35020e12i | 0.251528 | − | 0.00244111i | ||||
\(531\) | −6.24120e14 | + | 9.63043e14i | −0.641576 | + | 0.989978i | ||||
\(532\) | 3.60584e14 | + | 3.60584e14i | 0.366854 | + | 0.366854i | ||||
\(533\) | 8.34839e14 | + | 8.34839e14i | 0.840627 | + | 0.840627i | ||||
\(534\) | −1.11338e14 | + | 3.76522e14i | −0.110960 | + | 0.375244i | ||||
\(535\) | 7.94768e14 | − | 8.10346e14i | 0.783961 | − | 0.799327i | ||||
\(536\) | − | 3.20392e14i | − | 0.312806i | ||||||
\(537\) | 4.85288e14 | − | 2.63785e14i | 0.468965 | − | 0.254913i | ||||
\(538\) | 3.05611e14 | − | 3.05611e14i | 0.292325 | − | 0.292325i | ||||
\(539\) | −1.29135e14 | −0.122266 | ||||||||
\(540\) | −3.96634e14 | − | 2.67831e13i | −0.371727 | − | 0.0251012i | ||||
\(541\) | −4.90173e14 | −0.454742 | −0.227371 | − | 0.973808i | \(-0.573013\pi\) | ||||
−0.227371 | + | 0.973808i | \(0.573013\pi\) | |||||||
\(542\) | −4.75425e14 | + | 4.75425e14i | −0.436602 | + | 0.436602i | ||||
\(543\) | 7.51425e14 | − | 4.08448e14i | 0.683104 | − | 0.371311i | ||||
\(544\) | 5.33316e14i | 0.479944i | ||||||||
\(545\) | 4.78837e12 | + | 4.93386e14i | 0.00426587 | + | 0.439548i | ||||
\(546\) | 3.70455e14 | − | 1.25280e15i | 0.326720 | − | 1.10490i | ||||
\(547\) | 7.74424e14 | + | 7.74424e14i | 0.676159 | + | 0.676159i | 0.959129 | − | 0.282970i | \(-0.0913198\pi\) |
−0.282970 | + | 0.959129i | \(0.591320\pi\) | |||||||
\(548\) | 4.88313e14 | + | 4.88313e14i | 0.422090 | + | 0.422090i | ||||
\(549\) | −6.43789e14 | + | 9.93393e14i | −0.550929 | + | 0.850106i | ||||
\(550\) | −1.03768e14 | − | 9.98162e13i | −0.0879163 | − | 0.0845680i | ||||
\(551\) | 1.50983e15i | 1.26647i | ||||||||
\(552\) | −2.45349e14 | − | 4.51370e14i | −0.203760 | − | 0.374859i | ||||
\(553\) | 1.11091e15 | − | 1.11091e15i | 0.913461 | − | 0.913461i | ||||
\(554\) | −7.58186e14 | −0.617266 | ||||||||
\(555\) | −1.36689e15 | − | 3.89808e14i | −1.10185 | − | 0.314224i | ||||
\(556\) | −7.25971e14 | −0.579440 | ||||||||
\(557\) | 1.65220e15 | − | 1.65220e15i | 1.30575 | − | 1.30575i | 0.381293 | − | 0.924454i | \(-0.375479\pi\) |
0.924454 | − | 0.381293i | \(-0.124521\pi\) | |||||||
\(558\) | 5.13526e14 | + | 2.40482e15i | 0.401860 | + | 1.88189i | ||||
\(559\) | 7.95056e13i | 0.0616074i | ||||||||
\(560\) | −1.69270e15 | − | 1.66016e15i | −1.29881 | − | 1.27384i | ||||
\(561\) | 8.87873e13 | + | 2.62546e13i | 0.0674614 | + | 0.0199485i | ||||
\(562\) | −4.82715e14 | − | 4.82715e14i | −0.363196 | − | 0.363196i | ||||
\(563\) | −1.34187e15 | − | 1.34187e15i | −0.999803 | − | 0.999803i | 0.000197220 | − | 1.00000i | \(-0.499937\pi\) |
−1.00000 | 0.000197220i | \(0.999937\pi\) | ||||||||
\(564\) | −6.04631e14 | − | 1.78790e14i | −0.446124 | − | 0.131920i | ||||
\(565\) | 1.32564e15 | + | 1.30015e15i | 0.968631 | + | 0.950010i | ||||
\(566\) | − | 7.98319e14i | − | 0.577678i | ||||||
\(567\) | −7.33762e14 | + | 1.92232e15i | −0.525834 | + | 1.37759i | ||||
\(568\) | −3.72474e14 | + | 3.72474e14i | −0.264351 | + | 0.264351i | ||||
\(569\) | −7.18460e14 | −0.504993 | −0.252496 | − | 0.967598i | \(-0.581252\pi\) | ||||
−0.252496 | + | 0.967598i | \(0.581252\pi\) | |||||||
\(570\) | 1.52842e15 | + | 4.35872e14i | 1.06397 | + | 0.303422i | ||||
\(571\) | −3.57104e14 | −0.246205 | −0.123102 | − | 0.992394i | \(-0.539284\pi\) | ||||
−0.123102 | + | 0.992394i | \(0.539284\pi\) | |||||||
\(572\) | 2.67933e13 | − | 2.67933e13i | 0.0182957 | − | 0.0182957i | ||||
\(573\) | −2.45277e14 | − | 4.51237e14i | −0.165885 | − | 0.305179i | ||||
\(574\) | 4.59678e15i | 3.07920i | ||||||||
\(575\) | 6.30486e14 | + | 6.06474e14i | 0.418314 | + | 0.402382i | ||||
\(576\) | 5.12730e14 | + | 3.32285e14i | 0.336950 | + | 0.218367i | ||||
\(577\) | −1.43625e15 | − | 1.43625e15i | −0.934899 | − | 0.934899i | 0.0631080 | − | 0.998007i | \(-0.479899\pi\) |
−0.998007 | + | 0.0631080i | \(0.979899\pi\) | |||||||
\(578\) | −6.98352e14 | − | 6.98352e14i | −0.450268 | − | 0.450268i | ||||
\(579\) | 2.06856e14 | − | 6.99544e14i | 0.132110 | − | 0.446769i | ||||
\(580\) | 7.66481e12 | + | 7.89769e14i | 0.00484895 | + | 0.499627i | ||||
\(581\) | 1.93580e15i | 1.21309i | ||||||||
\(582\) | −1.28405e15 | + | 6.97967e14i | −0.797089 | + | 0.433270i | ||||
\(583\) | 2.57068e13 | − | 2.57068e13i | 0.0158078 | − | 0.0158078i | ||||
\(584\) | −1.82139e14 | −0.110951 | ||||||||
\(585\) | −2.41290e14 | − | 1.07859e15i | −0.145607 | − | 0.650876i | ||||
\(586\) | 1.83429e15 | 1.09656 | ||||||||
\(587\) | 8.41064e14 | − | 8.41064e14i | 0.498103 | − | 0.498103i | −0.412744 | − | 0.910847i | \(-0.635430\pi\) |
0.910847 | + | 0.412744i | \(0.135430\pi\) | |||||||
\(588\) | 6.55140e14 | − | 3.56111e14i | 0.384378 | − | 0.208934i | ||||
\(589\) | − | 2.66861e15i | − | 1.55114i | ||||||
\(590\) | 1.68055e15 | − | 1.71349e15i | 0.967756 | − | 0.986725i | ||||
\(591\) | −2.42435e14 | + | 8.19863e14i | −0.138313 | + | 0.467746i | ||||
\(592\) | −1.76843e15 | − | 1.76843e15i | −0.999581 | − | 0.999581i | ||||
\(593\) | 2.40054e14 | + | 2.40054e14i | 0.134434 | + | 0.134434i | 0.771122 | − | 0.636688i | \(-0.219696\pi\) |
−0.636688 | + | 0.771122i | \(0.719696\pi\) | |||||||
\(594\) | −1.66979e14 | + | 1.43022e14i | −0.0926483 | + | 0.0793556i | ||||
\(595\) | −1.81212e15 | + | 1.75868e13i | −0.996192 | + | 0.00966817i | ||||
\(596\) | 5.70775e14i | 0.310893i | ||||||||
\(597\) | 2.89845e14 | + | 5.33230e14i | 0.156425 | + | 0.287777i | ||||
\(598\) | −5.99737e14 | + | 5.99737e14i | −0.320704 | + | 0.320704i | ||||
\(599\) | 7.78763e14 | 0.412627 | 0.206314 | − | 0.978486i | \(-0.433853\pi\) | ||||
0.206314 | + | 0.978486i | \(0.433853\pi\) | |||||||
\(600\) | −1.35009e15 | − | 3.70888e14i | −0.708813 | − | 0.194720i | ||||
\(601\) | −8.50292e14 | −0.442342 | −0.221171 | − | 0.975235i | \(-0.570988\pi\) | ||||
−0.221171 | + | 0.975235i | \(0.570988\pi\) | |||||||
\(602\) | −2.18886e14 | + | 2.18886e14i | −0.112833 | + | 0.112833i | ||||
\(603\) | 8.14718e14 | − | 1.73975e14i | 0.416162 | − | 0.0888673i | ||||
\(604\) | − | 3.27067e14i | − | 0.165552i | ||||||
\(605\) | 1.97197e15 | − | 1.91382e13i | 0.989112 | − | 0.00959946i | ||||
\(606\) | −2.91636e15 | − | 8.62374e14i | −1.44958 | − | 0.428643i | ||||
\(607\) | −1.93561e15 | − | 1.93561e15i | −0.953409 | − | 0.953409i | 0.0455530 | − | 0.998962i | \(-0.485495\pi\) |
−0.998962 | + | 0.0455530i | \(0.985495\pi\) | |||||||
\(608\) | 9.71801e14 | + | 9.71801e14i | 0.474360 | + | 0.474360i | ||||
\(609\) | 3.92014e15 | + | 1.15919e15i | 1.89630 | + | 0.560738i | ||||
\(610\) | 1.73352e15 | − | 1.76749e15i | 0.831024 | − | 0.847312i | ||||
\(611\) | − | 1.75297e15i | − | 0.832814i | ||||||
\(612\) | −5.22843e14 | + | 1.11648e14i | −0.246172 | + | 0.0525676i | ||||
\(613\) | −2.12061e14 | + | 2.12061e14i | −0.0989527 | + | 0.0989527i | −0.754850 | − | 0.655897i | \(-0.772290\pi\) |
0.655897 | + | 0.754850i | \(0.272290\pi\) | |||||||
\(614\) | 1.73628e15 | 0.802961 | ||||||||
\(615\) | 1.89031e15 | + | 3.39859e15i | 0.866403 | + | 1.55771i | ||||
\(616\) | −2.48443e14 | −0.112858 | ||||||||
\(617\) | −1.80161e15 | + | 1.80161e15i | −0.811134 | + | 0.811134i | −0.984804 | − | 0.173670i | \(-0.944437\pi\) |
0.173670 | + | 0.984804i | \(0.444437\pi\) | |||||||
\(618\) | −6.31783e13 | − | 1.16230e14i | −0.0281924 | − | 0.0518656i | ||||
\(619\) | 2.75526e15i | 1.21861i | 0.792937 | + | 0.609303i | \(0.208551\pi\) | ||||
−0.792937 | + | 0.609303i | \(0.791449\pi\) | |||||||
\(620\) | −1.35474e13 | − | 1.39590e15i | −0.00593886 | − | 0.611930i | ||||
\(621\) | 1.01455e15 | − | 8.68989e14i | 0.440829 | − | 0.377581i | ||||
\(622\) | 1.10715e15 | + | 1.10715e15i | 0.476825 | + | 0.476825i | ||||
\(623\) | −8.15778e14 | − | 8.15778e14i | −0.348247 | − | 0.348247i | ||||
\(624\) | 5.51443e14 | − | 1.86486e15i | 0.233338 | − | 0.789099i | ||||
\(625\) | 2.38239e15 | − | 9.25292e13i | 0.999247 | − | 0.0388096i | ||||
\(626\) | − | 2.41338e15i | − | 1.00338i | ||||||
\(627\) | 2.09628e14 | − | 1.13946e14i | 0.0863928 | − | 0.0469601i | ||||
\(628\) | −1.31100e14 | + | 1.31100e14i | −0.0535581 | + | 0.0535581i | ||||
\(629\) | −1.91156e15 | −0.774124 | ||||||||
\(630\) | 2.30516e15 | − | 3.63374e15i | 0.925396 | − | 1.45875i | ||||
\(631\) | −7.08725e13 | −0.0282043 | −0.0141022 | − | 0.999901i | \(-0.504489\pi\) | ||||
−0.0141022 | + | 0.999901i | \(0.504489\pi\) | |||||||
\(632\) | 1.15428e15 | − | 1.15428e15i | 0.455372 | − | 0.455372i | ||||
\(633\) | −1.18929e15 | + | 6.46457e14i | −0.465123 | + | 0.252824i | ||||
\(634\) | 2.77892e15i | 1.07742i | ||||||||
\(635\) | 1.60483e15 | + | 1.57398e15i | 0.616842 | + | 0.604984i | ||||
\(636\) | −5.95273e13 | + | 2.01308e14i | −0.0226831 | + | 0.0767093i | ||||
\(637\) | 1.46593e15 | + | 1.46593e15i | 0.553791 | + | 0.553791i | ||||
\(638\) | 3.08866e14 | + | 3.08866e14i | 0.115679 | + | 0.115679i | ||||
\(639\) | −1.14941e15 | − | 7.44901e14i | −0.426797 | − | 0.276595i | ||||
\(640\) | −2.28990e15 | − | 2.24588e15i | −0.842997 | − | 0.826792i | ||||
\(641\) | − | 4.19967e14i | − | 0.153284i | −0.997059 | − | 0.0766418i | \(-0.975580\pi\) | ||
0.997059 | − | 0.0766418i | \(-0.0244198\pi\) | |||||||
\(642\) | 1.73107e15 | + | 3.18466e15i | 0.626430 | + | 1.15245i | ||||
\(643\) | 1.15949e15 | − | 1.15949e15i | 0.416013 | − | 0.416013i | −0.467814 | − | 0.883827i | \(-0.654958\pi\) |
0.883827 | + | 0.467814i | \(0.154958\pi\) | |||||||
\(644\) | −8.96372e14 | −0.318872 | ||||||||
\(645\) | −7.18202e13 | + | 2.51843e14i | −0.0253319 | + | 0.0888284i | ||||
\(646\) | 2.13746e15 | 0.747512 | ||||||||
\(647\) | 3.26531e14 | − | 3.26531e14i | 0.113227 | − | 0.113227i | −0.648223 | − | 0.761450i | \(-0.724488\pi\) |
0.761450 | + | 0.648223i | \(0.224488\pi\) | |||||||
\(648\) | −7.62407e14 | + | 1.99737e15i | −0.262135 | + | 0.686744i | ||||
\(649\) | − | 3.60299e14i | − | 0.122834i | ||||||
\(650\) | 4.48626e13 | + | 2.31106e15i | 0.0151656 | + | 0.781247i | ||||
\(651\) | −6.92878e15 | − | 2.04885e15i | −2.32253 | − | 0.686776i | ||||
\(652\) | −8.93312e14 | − | 8.93312e14i | −0.296921 | − | 0.296921i | ||||
\(653\) | −3.10191e15 | − | 3.10191e15i | −1.02237 | − | 1.02237i | −0.999744 | − | 0.0226233i | \(-0.992798\pi\) |
−0.0226233 | − | 0.999744i | \(-0.507202\pi\) | |||||||
\(654\) | −1.51102e15 | − | 4.46810e14i | −0.493846 | − | 0.146031i | ||||
\(655\) | 4.42433e13 | + | 4.55876e15i | 0.0143391 | + | 1.47747i | ||||
\(656\) | 6.84256e15i | 2.19911i | ||||||||
\(657\) | −9.89027e13 | − | 4.63157e14i | −0.0315209 | − | 0.147611i | ||||
\(658\) | 4.82609e15 | − | 4.82609e15i | 1.52529 | − | 1.52529i | ||||
\(659\) | 3.56536e15 | 1.11747 | 0.558733 | − | 0.829348i | \(-0.311288\pi\) | ||||
0.558733 | + | 0.829348i | \(0.311288\pi\) | |||||||
\(660\) | 1.09074e14 | − | 6.06676e13i | 0.0339024 | − | 0.0188567i | ||||
\(661\) | −1.39665e15 | −0.430507 | −0.215254 | − | 0.976558i | \(-0.569058\pi\) | ||||
−0.215254 | + | 0.976558i | \(0.569058\pi\) | |||||||
\(662\) | −3.47489e15 | + | 3.47489e15i | −1.06224 | + | 1.06224i | ||||
\(663\) | −7.09864e14 | − | 1.30594e15i | −0.215204 | − | 0.395912i | ||||
\(664\) | 2.01138e15i | 0.604740i | ||||||||
\(665\) | −3.26997e15 | + | 3.33406e15i | −0.975045 | + | 0.994156i | ||||
\(666\) | 2.46863e15 | − | 3.80920e15i | 0.730042 | − | 1.12649i | ||||
\(667\) | −1.87664e15 | − | 1.87664e15i | −0.550413 | − | 0.550413i | ||||
\(668\) | −1.17200e15 | − | 1.17200e15i | −0.340924 | − | 0.340924i | ||||
\(669\) | 1.56150e14 | − | 5.28064e14i | 0.0450502 | − | 0.152350i | ||||
\(670\) | −1.74222e15 | + | 1.69085e13i | −0.498531 | + | 0.00483831i | ||||
\(671\) | − | 3.71654e14i | − | 0.105479i | ||||||
\(672\) | 3.26930e15 | − | 1.77707e15i | 0.920287 | − | 0.500236i | ||||
\(673\) | 1.04662e15 | − | 1.04662e15i | 0.292216 | − | 0.292216i | −0.545739 | − | 0.837955i | \(-0.683751\pi\) |
0.837955 | + | 0.545739i | \(0.183751\pi\) | |||||||
\(674\) | −2.25264e15 | −0.623825 | ||||||||
\(675\) | 2.10013e14 | − | 3.63452e15i | 0.0576867 | − | 0.998335i | ||||
\(676\) | 7.59166e14 | 0.206838 | ||||||||
\(677\) | −2.97438e15 | + | 2.97438e15i | −0.803820 | + | 0.803820i | −0.983690 | − | 0.179871i | \(-0.942432\pi\) |
0.179871 | + | 0.983690i | \(0.442432\pi\) | |||||||
\(678\) | −5.20976e15 | + | 2.83184e15i | −1.39654 | + | 0.759112i | ||||
\(679\) | − | 4.29427e15i | − | 1.14184i | ||||||
\(680\) | −1.88286e15 | + | 1.82734e13i | −0.496614 | + | 0.00481971i | ||||
\(681\) | −7.61054e14 | + | 2.57372e15i | −0.199116 | + | 0.673368i | ||||
\(682\) | −5.45915e14 | − | 5.45915e14i | −0.141681 | − | 0.141681i | ||||
\(683\) | −8.63475e14 | − | 8.63475e14i | −0.222298 | − | 0.222298i | 0.587167 | − | 0.809466i | \(-0.300243\pi\) |
−0.809466 | + | 0.587167i | \(0.800243\pi\) | |||||||
\(684\) | −7.49275e14 | + | 1.15616e15i | −0.191352 | + | 0.295264i | ||||
\(685\) | −4.42828e15 | + | 4.51508e15i | −1.12186 | + | 1.14385i | ||||
\(686\) | 1.19775e15i | 0.301011i | ||||||||
\(687\) | 9.19606e14 | + | 1.69180e15i | 0.229266 | + | 0.421782i | ||||
\(688\) | −3.25824e14 | + | 3.25824e14i | −0.0805836 | + | 0.0805836i | ||||
\(689\) | −5.83642e14 | −0.143199 | ||||||||
\(690\) | −2.44150e15 | + | 1.35797e15i | −0.594275 | + | 0.330538i | ||||
\(691\) | 6.92420e15 | 1.67201 | 0.836007 | − | 0.548718i | \(-0.184884\pi\) | ||||
0.836007 | + | 0.548718i | \(0.184884\pi\) | |||||||
\(692\) | 5.24221e14 | − | 5.24221e14i | 0.125583 | − | 0.125583i | ||||
\(693\) | −1.34906e14 | − | 6.31761e14i | −0.0320627 | − | 0.150148i | ||||
\(694\) | − | 2.13348e15i | − | 0.503051i | ||||||
\(695\) | −6.45198e13 | − | 6.64801e15i | −0.0150930 | − | 1.55516i | ||||
\(696\) | 4.07318e15 | + | 1.20445e15i | 0.945328 | + | 0.279535i | ||||
\(697\) | 3.69820e15 | + | 3.69820e15i | 0.851550 | + | 0.851550i | ||||
\(698\) | 6.69172e15 | + | 6.69172e15i | 1.52874 | + | 1.52874i | ||||
\(699\) | 1.56731e15 | + | 4.63458e14i | 0.355248 | + | 0.105047i | ||||
\(700\) | −1.69354e15 | + | 1.76059e15i | −0.380852 | + | 0.395931i | ||||
\(701\) | − | 5.35981e15i | − | 1.19591i | −0.801528 | − | 0.597957i | \(-0.795979\pi\) | ||
0.801528 | − | 0.597957i | \(-0.204021\pi\) | |||||||
\(702\) | 3.51910e15 | + | 2.71962e14i | 0.779071 | + | 0.0602080i | ||||
\(703\) | −3.48323e15 | + | 3.48323e15i | −0.765117 | + | 0.765117i | ||||
\(704\) | −1.91826e14 | −0.0418078 | ||||||||
\(705\) | 1.58352e15 | − | 5.55274e15i | 0.342439 | − | 1.20079i | ||||
\(706\) | −7.11600e14 | −0.152690 | ||||||||
\(707\) | 6.31863e15 | − | 6.31863e15i | 1.34529 | − | 1.34529i | ||||
\(708\) | 9.93581e14 | + | 1.82790e15i | 0.209904 | + | 0.386161i | ||||
\(709\) | − | 2.97820e15i | − | 0.624310i | −0.950031 | − | 0.312155i | \(-0.898949\pi\) | ||
0.950031 | − | 0.312155i | \(-0.101051\pi\) | |||||||
\(710\) | 2.04509e15 | + | 2.00578e15i | 0.425395 | + | 0.417217i | ||||
\(711\) | 3.56197e15 | + | 2.30841e15i | 0.735203 | + | 0.476464i | ||||
\(712\) | −8.47625e14 | − | 8.47625e14i | −0.173606 | − | 0.173606i | ||||
\(713\) | 3.31693e15 | + | 3.31693e15i | 0.674131 | + | 0.674131i | ||||
\(714\) | 1.64105e15 | − | 5.54969e15i | 0.330966 | − | 1.11925i | ||||
\(715\) | 2.47738e14 | + | 2.42976e14i | 0.0495804 | + | 0.0486273i | ||||
\(716\) | − | 1.00135e15i | − | 0.198868i | ||||||
\(717\) | 6.91117e15 | − | 3.75667e15i | 1.36206 | − | 0.740369i | ||||
\(718\) | −2.91919e15 | + | 2.91919e15i | −0.570923 | + | 0.570923i | ||||
\(719\) | −5.08231e15 | −0.986398 | −0.493199 | − | 0.869916i | \(-0.664173\pi\) | ||||
−0.493199 | + | 0.869916i | \(0.664173\pi\) | |||||||
\(720\) | 3.43136e15 | − | 5.40903e15i | 0.660902 | − | 1.04182i | ||||
\(721\) | 3.88707e14 | 0.0742983 | ||||||||
\(722\) | −4.72401e14 | + | 4.72401e14i | −0.0896099 | + | 0.0896099i | ||||
\(723\) | 7.91149e15 | − | 4.30041e15i | 1.48935 | − | 0.809561i | ||||
\(724\) | − | 1.55051e15i | − | 0.289675i | ||||||
\(725\) | −7.23155e15 | + | 1.40380e14i | −1.34083 | + | 0.0260282i | ||||
\(726\) | −1.78582e15 | + | 6.03924e15i | −0.328613 | + | 1.11130i | ||||
\(727\) | −5.23725e15 | − | 5.23725e15i | −0.956454 | − | 0.956454i | 0.0426365 | − | 0.999091i | \(-0.486424\pi\) |
−0.999091 | + | 0.0426365i | \(0.986424\pi\) | |||||||
\(728\) | 2.82030e15 | + | 2.82030e15i | 0.511178 | + | 0.511178i | ||||
\(729\) | −5.49305e15 | − | 8.54126e14i | −0.988126 | − | 0.153646i | ||||
\(730\) | 9.61228e12 | + | 9.90433e14i | 0.00171613 | + | 0.176827i | ||||
\(731\) | 3.52196e14i | 0.0624079i | ||||||||
\(732\) | 1.02489e15 | + | 1.88550e15i | 0.180247 | + | 0.331601i | ||||
\(733\) | −1.65063e15 | + | 1.65063e15i | −0.288123 | + | 0.288123i | −0.836337 | − | 0.548215i | \(-0.815308\pi\) |
0.548215 | + | 0.836337i | \(0.315308\pi\) | |||||||
\(734\) | 1.11956e16 | 1.93963 | ||||||||
\(735\) | 3.31928e15 | + | 5.96773e15i | 0.570772 | + | 1.02619i | ||||
\(736\) | −2.41579e15 | −0.412317 | ||||||||
\(737\) | −1.84948e14 | + | 1.84948e14i | −0.0313313 | + | 0.0313313i | ||||
\(738\) | −1.21454e16 | + | 2.59353e15i | −2.04221 | + | 0.436095i | ||||
\(739\) | 1.89093e14i | 0.0315596i | 0.999875 | + | 0.0157798i | \(0.00502308\pi\) | ||||
−0.999875 | + | 0.0157798i | \(0.994977\pi\) | |||||||
\(740\) | −1.80433e15 | + | 1.83970e15i | −0.298912 | + | 0.304770i | ||||
\(741\) | −3.67317e15 | − | 1.08616e15i | −0.604006 | − | 0.178606i | ||||
\(742\) | −1.60682e15 | − | 1.60682e15i | −0.262268 | − | 0.262268i | ||||
\(743\) | 6.46972e15 | + | 6.46972e15i | 1.04821 | + | 1.04821i | 0.998778 | + | 0.0494294i | \(0.0157403\pi\) |
0.0494294 | + | 0.998778i | \(0.484260\pi\) | |||||||
\(744\) | −7.19928e15 | − | 2.12884e15i | −1.15781 | − | 0.342367i | ||||
\(745\) | −5.22682e15 | + | 5.07269e13i | −0.834406 | + | 0.00809802i | ||||
\(746\) | − | 1.29597e16i | − | 2.05368i | ||||||
\(747\) | −5.11469e15 | + | 1.09219e15i | −0.804555 | + | 0.171805i | ||||
\(748\) | 1.18690e14 | − | 1.18690e14i | 0.0185334 | − | 0.0185334i | ||||
\(749\) | −1.06505e16 | −1.65090 | ||||||||
\(750\) | −1.94556e15 | + | 7.36109e15i | −0.299369 | + | 1.13267i | ||||
\(751\) | 4.99169e15 | 0.762479 | 0.381239 | − | 0.924476i | \(-0.375497\pi\) | ||||
0.381239 | + | 0.924476i | \(0.375497\pi\) | |||||||
\(752\) | 7.18390e15 | − | 7.18390e15i | 1.08934 | − | 1.08934i | ||||
\(753\) | −7.30852e14 | − | 1.34455e15i | −0.110016 | − | 0.202398i | ||||
\(754\) | − | 7.01240e15i | − | 1.04791i | ||||||
\(755\) | 2.99508e15 | − | 2.90677e13i | 0.444325 | − | 0.00431223i | ||||
\(756\) | 2.42660e15 | + | 2.83307e15i | 0.357378 | + | 0.417242i | ||||
\(757\) | 2.11962e15 | + | 2.11962e15i | 0.309907 | + | 0.309907i | 0.844873 | − | 0.534967i | \(-0.179676\pi\) |
−0.534967 | + | 0.844873i | \(0.679676\pi\) | |||||||
\(758\) | −9.59446e15 | − | 9.59446e15i | −1.39264 | − | 1.39264i | ||||
\(759\) | −1.18927e14 | + | 4.02184e14i | −0.0171376 | + | 0.0579556i | ||||
\(760\) | −3.39763e15 | + | 3.46422e15i | −0.486072 | + | 0.495600i | ||||
\(761\) | 9.13233e15i | 1.29708i | 0.761182 | + | 0.648539i | \(0.224620\pi\) | ||||
−0.761182 | + | 0.648539i | \(0.775380\pi\) | |||||||
\(762\) | −6.30699e15 | + | 3.42826e15i | −0.889344 | + | 0.483416i | ||||
\(763\) | 3.27379e15 | − | 3.27379e15i | 0.458317 | − | 0.458317i | ||||
\(764\) | −9.31092e14 | −0.129413 | ||||||||
\(765\) | −1.06887e15 | − | 4.77797e15i | −0.147499 | − | 0.659333i | ||||
\(766\) | 1.17653e16 | 1.61192 | ||||||||
\(767\) | −4.09007e15 | + | 4.09007e15i | −0.556361 | + | 0.556361i | ||||
\(768\) | 6.38725e15 | − | 3.47189e15i | 0.862635 | − | 0.468898i | ||||
\(769\) | 8.83397e15i | 1.18457i | 0.805728 | + | 0.592285i | \(0.201774\pi\) | ||||
−0.805728 | + | 0.592285i | \(0.798226\pi\) | |||||||
\(770\) | 1.31114e13 | + | 1.35098e15i | 0.00174563 | + | 0.179866i | ||||
\(771\) | −3.29251e15 | + | 1.11346e16i | −0.435240 | + | 1.47189i | ||||
\(772\) | −9.35142e14 | − | 9.35142e14i | −0.122739 | − | 0.122739i | ||||
\(773\) | −5.04041e15 | − | 5.04041e15i | −0.656869 | − | 0.656869i | 0.297769 | − | 0.954638i | \(-0.403758\pi\) |
−0.954638 | + | 0.297769i | \(0.903758\pi\) | |||||||
\(774\) | −7.01827e14 | − | 4.54833e14i | −0.0908144 | − | 0.0588541i | ||||
\(775\) | 1.27817e16 | − | 2.48119e14i | 1.64221 | − | 0.0318787i | ||||
\(776\) | − | 4.46192e15i | − | 0.569222i | ||||||
\(777\) | 6.36957e15 | + | 1.17181e16i | 0.806853 | + | 1.48437i | ||||
\(778\) | 3.98951e15 | − | 3.98951e15i | 0.501802 | − | 0.501802i | ||||
\(779\) | 1.34776e16 | 1.68328 | ||||||||
\(780\) | −1.92689e15 | − | 5.49507e14i | −0.238966 | − | 0.0681479i | ||||
\(781\) | 4.30026e14 | 0.0529558 | ||||||||
\(782\) | −2.65674e15 | + | 2.65674e15i | −0.324871 | + | 0.324871i | ||||
\(783\) | −8.50997e14 | + | 1.10116e16i | −0.103333 | + | 1.33709i | ||||
\(784\) | 1.20151e16i | 1.44874i | ||||||||
\(785\) | −1.21219e15 | − | 1.18889e15i | −0.145140 | − | 0.142350i | ||||
\(786\) | −1.39614e16 | − | 4.12841e15i | −1.65999 | − | 0.490861i | ||||
\(787\) | 2.36821e15 | + | 2.36821e15i | 0.279614 | + | 0.279614i | 0.832955 | − | 0.553341i | \(-0.186647\pi\) |
−0.553341 | + | 0.832955i | \(0.686647\pi\) | |||||||
\(788\) | 1.09598e15 | + | 1.09598e15i | 0.128502 | + | 0.128502i | ||||
\(789\) | 2.87764e15 | + | 8.50925e14i | 0.335053 | + | 0.0990758i | ||||
\(790\) | −6.33763e15 | − | 6.21580e15i | −0.732787 | − | 0.718700i | ||||
\(791\) | − | 1.74230e16i | − | 2.00057i | ||||||
\(792\) | −1.40173e14 | − | 6.56425e14i | −0.0159837 | − | 0.0748508i | ||||
\(793\) | −4.21897e15 | + | 4.21897e15i | −0.477754 | + | 0.477754i | ||||
\(794\) | 3.50334e15 | 0.393975 | ||||||||
\(795\) | −1.84875e15 | − | 5.27224e14i | −0.206471 | − | 0.0588811i | ||||
\(796\) | 1.10028e15 | 0.122034 | ||||||||
\(797\) | −8.64980e15 | + | 8.64980e15i | −0.952764 | + | 0.952764i | −0.998934 | − | 0.0461696i | \(-0.985299\pi\) |
0.0461696 | + | 0.998934i | \(0.485299\pi\) | |||||||
\(798\) | −7.12227e15 | − | 1.31029e16i | −0.779116 | − | 1.43335i | ||||
\(799\) | − | 7.76537e15i | − | 0.843635i | ||||||
\(800\) | −4.56421e15 | + | 4.74492e15i | −0.492460 | + | 0.511958i | ||||
\(801\) | 1.69514e15 | − | 2.61567e15i | 0.181647 | − | 0.280288i | ||||
\(802\) | 4.36157e15 | + | 4.36157e15i | 0.464177 | + | 0.464177i | ||||
\(803\) | 1.05141e14 | + | 1.05141e14i | 0.0111131 | + | 0.0111131i | ||||
\(804\) | 4.28269e14 | − | 1.44831e15i | 0.0449582 | − | 0.152039i | ||||
\(805\) | −7.96640e13 | − | 8.20844e15i | −0.00830586 | − | 0.855821i | ||||
\(806\) | 1.23943e16i | 1.28345i | ||||||||
\(807\) | −3.01443e15 | + | 1.63854e15i | −0.310028 | + | 0.168520i | ||||
\(808\) | 6.56530e15 | − | 6.56530e15i | 0.670645 | − | 0.670645i | ||||
\(809\) | 3.82178e15 | 0.387747 | 0.193874 | − | 0.981027i | \(-0.437895\pi\) | ||||
0.193874 | + | 0.981027i | \(0.437895\pi\) | |||||||
\(810\) | 1.09015e16 | + | 4.04040e15i | 1.09854 | + | 0.407152i | ||||
\(811\) | −1.93944e16 | −1.94116 | −0.970581 | − | 0.240776i | \(-0.922598\pi\) | ||||
−0.970581 | + | 0.240776i | \(0.922598\pi\) | |||||||
\(812\) | 5.24040e15 | − | 5.24040e15i | 0.520962 | − | 0.520962i | ||||
\(813\) | 4.68941e15 | − | 2.54900e15i | 0.463042 | − | 0.251693i | ||||
\(814\) | 1.42512e15i | 0.139771i | ||||||||
\(815\) | 8.10103e15 | − | 8.25981e15i | 0.789175 | − | 0.804643i | ||||
\(816\) | 2.44280e15 | − | 8.26103e15i | 0.236370 | − | 0.799352i | ||||
\(817\) | 6.41768e14 | + | 6.41768e14i | 0.0616817 | + | 0.0616817i | ||||
\(818\) | −4.94161e15 | − | 4.94161e15i | −0.471764 | − | 0.471764i | ||||
\(819\) | −5.64023e15 | + | 8.70311e15i | −0.534854 | + | 0.825302i | ||||
\(820\) | 7.04992e15 | − | 6.84203e13i | 0.664061 | − | 0.00644479i | ||||
\(821\) | 6.91983e15i | 0.647453i | 0.946151 | + | 0.323727i | \(0.104936\pi\) | ||||
−0.946151 | + | 0.323727i | \(0.895064\pi\) | |||||||
\(822\) | −9.64517e15 | − | 1.77443e16i | −0.896427 | − | 1.64916i | ||||
\(823\) | −9.24390e15 | + | 9.24390e15i | −0.853407 | + | 0.853407i | −0.990551 | − | 0.137144i | \(-0.956208\pi\) |
0.137144 | + | 0.990551i | \(0.456208\pi\) | |||||||
\(824\) | 4.03882e14 | 0.0370386 | ||||||||
\(825\) | 5.65251e14 | + | 9.93445e14i | 0.0514926 | + | 0.0904997i | ||||
\(826\) | −2.25207e16 | −2.03794 | ||||||||
\(827\) | 1.10814e14 | − | 1.10814e14i | 0.00996130 | − | 0.00996130i | −0.702109 | − | 0.712070i | \(-0.747758\pi\) |
0.712070 | + | 0.702109i | \(0.247758\pi\) | |||||||
\(828\) | −5.05738e14 | − | 2.36835e15i | −0.0451605 | − | 0.211485i | ||||
\(829\) | 6.85619e14i | 0.0608181i | 0.999538 | + | 0.0304091i | \(0.00968100\pi\) | ||||
−0.999538 | + | 0.0304091i | \(0.990319\pi\) | |||||||
\(830\) | 1.09374e16 | − | 1.06149e14i | 0.963797 | − | 0.00935378i | ||||
\(831\) | 5.77175e15 | + | 1.70672e15i | 0.505245 | + | 0.149402i | ||||
\(832\) | 2.17758e15 | + | 2.17758e15i | 0.189363 | + | 0.189363i | ||||
\(833\) | 6.49382e15 | + | 6.49382e15i | 0.560987 | + | 0.560987i | ||||
\(834\) | 2.03598e16 | + | 6.02044e15i | 1.74727 | + | 0.516672i | ||||
\(835\) | 1.06283e16 | − | 1.08367e16i | 0.906128 | − | 0.923889i | ||||
\(836\) | − | 4.32550e14i | − | 0.0366355i | ||||||
\(837\) | 1.50412e15 | − | 1.94629e16i | 0.126559 | − | 1.63763i | ||||
\(838\) | 9.06108e15 | − | 9.06108e15i | 0.757422 | − | 0.757422i | ||||
\(839\) | 9.59629e15 | 0.796916 | 0.398458 | − | 0.917187i | \(-0.369546\pi\) | ||||
0.398458 | + | 0.917187i | \(0.369546\pi\) | |||||||
\(840\) | 6.38594e15 | + | 1.14813e16i | 0.526853 | + | 0.947228i | ||||
\(841\) | 9.74202e15 | 0.798493 | ||||||||
\(842\) | −4.32751e15 | + | 4.32751e15i | −0.352388 | + | 0.352388i | ||||
\(843\) | 2.58809e15 | + | 4.76132e15i | 0.209376 | + | 0.385191i | ||||
\(844\) | 2.45401e15i | 0.197239i | ||||||||
\(845\) | 6.74699e13 | + | 6.95199e15i | 0.00538764 | + | 0.555133i | ||||
\(846\) | 1.54742e16 | + | 1.00283e16i | 1.22764 | + | 0.795595i | ||||
\(847\) | −1.30847e16 | − | 1.30847e16i | −1.03135 | − | 1.03135i | ||||
\(848\) | −2.39184e15 | − | 2.39184e15i | −0.187307 | − | 0.187307i | ||||
\(849\) | −1.79706e15 | + | 6.07726e15i | −0.139820 | + | 0.472842i | ||||
\(850\) | 1.98734e14 | + | 1.02376e16i | 0.0153627 | + | 0.791399i | ||||
\(851\) | − | 8.65891e15i | − | 0.665044i | ||||||
\(852\) | −2.18164e15 | + | 1.18586e15i | −0.166481 | + | 0.0904933i | ||||
\(853\) | 5.31904e15 | − | 5.31904e15i | 0.403286 | − | 0.403286i | −0.476103 | − | 0.879389i | \(-0.657951\pi\) |
0.879389 | + | 0.476103i | \(0.157951\pi\) | |||||||
\(854\) | −2.32304e16 | −1.75000 | ||||||||
\(855\) | −1.06540e16 | − | 6.75866e15i | −0.797444 | − | 0.505879i | ||||
\(856\) | −1.10663e16 | −0.822993 | ||||||||
\(857\) | −9.41959e15 | + | 9.41959e15i | −0.696045 | + | 0.696045i | −0.963555 | − | 0.267510i | \(-0.913799\pi\) |
0.267510 | + | 0.963555i | \(0.413799\pi\) | |||||||
\(858\) | −9.73613e14 | + | 5.29222e14i | −0.0714836 | + | 0.0388560i | ||||
\(859\) | 1.25705e16i | 0.917045i | 0.888683 | + | 0.458523i | \(0.151621\pi\) | ||||
−0.888683 | + | 0.458523i | \(0.848379\pi\) | |||||||
\(860\) | 3.38956e14 | + | 3.32440e14i | 0.0245698 | + | 0.0240975i | ||||
\(861\) | 1.03476e16 | − | 3.49933e16i | 0.745284 | − | 2.52039i | ||||
\(862\) | 8.44539e15 | + | 8.44539e15i | 0.604407 | + | 0.604407i | ||||
\(863\) | 3.67056e14 | + | 3.67056e14i | 0.0261019 | + | 0.0261019i | 0.720037 | − | 0.693935i | \(-0.244125\pi\) |
−0.693935 | + | 0.720037i | \(0.744125\pi\) | |||||||
\(864\) | 6.53985e15 | + | 7.63534e15i | 0.462107 | + | 0.539514i | ||||
\(865\) | 4.84710e15 | + | 4.75392e15i | 0.340324 | + | 0.333782i | ||||
\(866\) | 1.25295e16i | 0.874148i | ||||||||
\(867\) | 3.74423e15 | + | 6.88828e15i | 0.259572 | + | 0.477536i | ||||
\(868\) | −9.26232e15 | + | 9.26232e15i | −0.638060 | + | 0.638060i | ||||
\(869\) | −1.33263e15 | −0.0912220 | ||||||||
\(870\) | 6.33455e15 | − | 2.22126e16i | 0.430884 | − | 1.51093i | ||||
\(871\) | 4.19901e15 | 0.283823 | ||||||||
\(872\) | 3.40160e15 | − | 3.40160e15i | 0.228477 | − | 0.228477i | ||||
\(873\) | 1.13461e16 | − | 2.42285e15i | 0.757302 | − | 0.161714i | ||||
\(874\) | 9.68214e15i | 0.642182i | ||||||||
\(875\) | −1.62730e16 | − | 1.53520e16i | −1.07256 | − | 1.01186i | ||||
\(876\) | −8.23349e14 | − | 2.43466e14i | −0.0539277 | − | 0.0159465i | ||||
\(877\) | −7.08696e15 | − | 7.08696e15i | −0.461278 | − | 0.461278i | 0.437797 | − | 0.899074i | \(-0.355759\pi\) |
−0.899074 | + | 0.437797i | \(0.855759\pi\) | |||||||
\(878\) | 4.13450e15 | + | 4.13450e15i | 0.267426 | + | 0.267426i | ||||
\(879\) | −1.39637e16 | − | 4.12909e15i | −0.897556 | − | 0.265409i | ||||
\(880\) | 1.95171e13 | + | 2.01101e15i | 0.00124670 | + | 0.128458i | ||||
\(881\) | 2.86234e16i | 1.81700i | 0.417887 | + | 0.908499i | \(0.362771\pi\) | ||||
−0.417887 | + | 0.908499i | \(0.637229\pi\) | |||||||
\(882\) | −2.13266e16 | + | 4.55408e15i | −1.34538 | + | 0.287292i | ||||
\(883\) | −5.81145e15 | + | 5.81145e15i | −0.364335 | + | 0.364335i | −0.865406 | − | 0.501071i | \(-0.832939\pi\) |
0.501071 | + | 0.865406i | \(0.332939\pi\) | |||||||
\(884\) | −2.69471e15 | −0.167890 | ||||||||
\(885\) | −1.66505e16 | + | 9.26108e15i | −1.03095 | + | 0.573421i | ||||
\(886\) | −1.59426e16 | −0.981008 | ||||||||
\(887\) | 1.32618e15 | − | 1.32618e15i | 0.0811005 | − | 0.0811005i | −0.665393 | − | 0.746493i | \(-0.731736\pi\) |
0.746493 | + | 0.665393i | \(0.231736\pi\) | |||||||
\(888\) | 6.61823e15 | + | 1.21756e16i | 0.402227 | + | 0.739979i | ||||
\(889\) | − | 2.10925e16i | − | 1.27400i | ||||||
\(890\) | −4.56447e15 | + | 4.65394e15i | −0.273997 | + | 0.279367i | ||||
\(891\) | 1.59309e15 | − | 7.12886e14i | 0.0950416 | − | 0.0425297i | ||||
\(892\) | −7.05910e14 | − | 7.05910e14i | −0.0418546 | − | 0.0418546i | ||||
\(893\) | −1.41499e16 | − | 1.41499e16i | −0.833819 | − | 0.833819i | ||||
\(894\) | 4.73341e15 | − | 1.60074e16i | 0.277215 | − | 0.937483i | ||||
\(895\) | 9.16979e15 | − | 8.89940e13i | 0.533744 | − | 0.00518005i | ||||
\(896\) | 3.00965e16i | 1.74109i | ||||||||
\(897\) | 5.91558e15 | − | 3.21550e15i | 0.340125 | − | 0.184880i | ||||
\(898\) | −7.86892e15 | + | 7.86892e15i | −0.449671 | + | 0.449671i | ||||
\(899\) | −3.87831e16 | −2.20274 | ||||||||
\(900\) | −5.60725e15 | − | 3.48125e15i | −0.316531 | − | 0.196518i | ||||
\(901\) | −2.58544e15 | −0.145060 | ||||||||
\(902\) | 2.75710e15 | − | 2.75710e15i | 0.153751 | − | 0.153751i | ||||
\(903\) | 2.15901e15 | − | 1.17356e15i | 0.119666 | − | 0.0650464i | ||||
\(904\) | − | 1.81032e16i | − | 0.997309i | ||||||
\(905\) | 1.41986e16 | − | 1.37799e14i | 0.777461 | − | 0.00754536i | ||||
\(906\) | −2.71235e15 | + | 9.17258e15i | −0.147618 | + | 0.499214i | ||||
\(907\) | 7.63881e15 | + | 7.63881e15i | 0.413224 | + | 0.413224i | 0.882860 | − | 0.469636i | \(-0.155615\pi\) |
−0.469636 | + | 0.882860i | \(0.655615\pi\) | |||||||
\(908\) | 3.44052e15 | + | 3.44052e15i | 0.184992 | + | 0.184992i | ||||
\(909\) | 2.02598e16 | + | 1.31298e16i | 1.08276 | + | 0.701707i | ||||
\(910\) | 1.51873e16 | − | 1.54850e16i | 0.806777 | − | 0.822590i | ||||
\(911\) | 1.10415e16i | 0.583009i | 0.956569 | + | 0.291504i | \(0.0941558\pi\) | ||||
−0.956569 | + | 0.291504i | \(0.905844\pi\) | |||||||
\(912\) | −1.06019e16 | − | 1.95044e16i | −0.556432 | − | 1.02367i | ||||
\(913\) | 1.16108e15 | − | 1.16108e15i | 0.0605720 | − | 0.0605720i | ||||
\(914\) | 2.55469e15 | 0.132475 | ||||||||
\(915\) | −1.71752e16 | + | 9.55294e15i | −0.885292 | + | 0.492403i | ||||
\(916\) | 3.49090e15 | 0.178860 | ||||||||
\(917\) | 3.02489e16 | − | 3.02489e16i | 1.54056 | − | 1.54056i | ||||
\(918\) | 1.55890e16 | + | 1.20475e15i | 0.789194 | + | 0.0609903i | ||||
\(919\) | 1.55832e16i | 0.784192i | 0.919924 | + | 0.392096i | \(0.128250\pi\) | ||||
−0.919924 | + | 0.392096i | \(0.871750\pi\) | |||||||
\(920\) | −8.27740e13 | − | 8.52889e15i | −0.00414058 | − | 0.426638i | ||||
\(921\) | −1.32176e16 | − | 3.90846e15i | −0.657240 | − | 0.194347i | ||||
\(922\) | 3.11589e16 | + | 3.11589e16i | 1.54015 | + | 1.54015i | ||||
\(923\) | −4.88160e15 | − | 4.88160e15i | −0.239857 | − | 0.239857i | ||||
\(924\) | −1.12307e15 | − | 3.32095e14i | −0.0548545 | − | 0.0162206i | ||||
\(925\) | −1.70072e16 | − | 1.63595e16i | −0.825761 | − | 0.794312i | ||||
\(926\) | − | 4.11939e16i | − | 1.98826i | ||||||
\(927\) | 2.19311e14 | + | 1.02702e15i | 0.0105226 | + | 0.0492767i | ||||
\(928\) | 1.41233e16 | − | 1.41233e16i | 0.673629 | − | 0.673629i | ||||
\(929\) | 3.49192e16 | 1.65569 | 0.827843 | − | 0.560961i | \(-0.189568\pi\) | ||||
0.827843 | + | 0.560961i | \(0.189568\pi\) | |||||||
\(930\) | −1.11962e16 | + | 3.92605e16i | −0.527735 | + | 1.85054i | ||||
\(931\) | 2.36659e16 | 1.10892 | ||||||||
\(932\) | 2.09517e15 | − | 2.09517e15i | 0.0975959 | − | 0.0975959i | ||||
\(933\) | −5.93601e15 | − | 1.09205e16i | −0.274881 | − | 0.505701i | ||||
\(934\) | − | 1.04768e16i | − | 0.482304i | ||||||
\(935\) | 1.09744e15 | + | 1.07634e15i | 0.0502246 | + | 0.0492591i | ||||
\(936\) | −5.86042e15 | + | 9.04288e15i | −0.266632 | + | 0.411424i | ||||
\(937\) | −7.08661e15 | − | 7.08661e15i | −0.320532 | − | 0.320532i | 0.528439 | − | 0.848971i | \(-0.322777\pi\) |
−0.848971 | + | 0.528439i | \(0.822777\pi\) | |||||||
\(938\) | 1.15603e16 | + | 1.15603e16i | 0.519819 | + | 0.519819i | ||||
\(939\) | −5.43264e15 | + | 1.83720e16i | −0.242857 | + | 0.821289i | ||||
\(940\) | −7.47343e15 | − | 7.32977e15i | −0.332137 | − | 0.325752i | ||||
\(941\) | − | 9.27144e15i | − | 0.409642i | −0.978799 | − | 0.204821i | \(-0.934339\pi\) | ||
0.978799 | − | 0.204821i | \(-0.0656612\pi\) | |||||||
\(942\) | 4.76390e15 | − | 2.58949e15i | 0.209258 | − | 0.113746i | ||||
\(943\) | −1.67519e16 | + | 1.67519e16i | −0.731560 | + | 0.731560i | ||||
\(944\) | −3.35233e16 | −1.45546 | ||||||||
\(945\) | −2.57279e16 | + | 2.24731e16i | −1.11053 | + | 0.970037i | ||||
\(946\) | 2.62572e14 | 0.0112680 | ||||||||
\(947\) | −2.29673e15 | + | 2.29673e15i | −0.0979906 | + | 0.0979906i | −0.754403 | − | 0.656412i | \(-0.772073\pi\) |
0.656412 | + | 0.754403i | \(0.272073\pi\) | |||||||
\(948\) | 6.76078e15 | − | 3.67492e15i | 0.286781 | − | 0.155884i | ||||
\(949\) | − | 2.38709e15i | − | 0.100671i | ||||||
\(950\) | 1.90170e16 | + | 1.82927e16i | 0.797374 | + | 0.767006i | ||||
\(951\) | 6.25549e15 | − | 2.11547e16i | 0.260776 | − | 0.881890i | ||||
\(952\) | 1.24934e16 | + | 1.24934e16i | 0.517820 | + | 0.517820i | ||||
\(953\) | 1.33125e16 | + | 1.33125e16i | 0.548590 | + | 0.548590i | 0.926033 | − | 0.377443i | \(-0.123196\pi\) |
−0.377443 | + | 0.926033i | \(0.623196\pi\) | |||||||
\(954\) | 3.33888e15 | − | 5.15203e15i | 0.136800 | − | 0.211088i | ||||
\(955\) | −8.27497e13 | − | 8.52638e15i | −0.00337091 | − | 0.347333i | ||||
\(956\) | − | 1.42607e16i | − | 0.577592i | ||||||
\(957\) | −1.65599e15 | − | 3.04653e15i | −0.0666871 | − | 0.122685i | ||||
\(958\) | 1.71931e16 | − | 1.71931e16i | 0.688405 | − | 0.688405i | ||||
\(959\) | 5.93424e16 | 2.36245 | ||||||||
\(960\) | 4.93065e15 | + | 8.86483e15i | 0.195170 | + | 0.350896i | ||||
\(961\) | 4.31400e16 | 1.69786 | ||||||||
\(962\) | 1.61778e16 | − | 1.61778e16i | 0.633077 | − | 0.633077i | ||||
\(963\) | −6.00907e15 | − | 2.81402e16i | −0.233810 | − | 1.09492i | ||||
\(964\) | − | 1.63247e16i | − | 0.631572i | ||||||
\(965\) | 8.48036e15 | − | 8.64658e15i | 0.326223 | − | 0.332617i | ||||
\(966\) | 2.51387e16 | + | 7.43356e15i | 0.961543 | + | 0.284330i | ||||
\(967\) | −1.60974e16 | − | 1.60974e16i | −0.612225 | − | 0.612225i | 0.331300 | − | 0.943525i | \(-0.392513\pi\) |
−0.943525 | + | 0.331300i | \(0.892513\pi\) | |||||||
\(968\) | −1.35955e16 | − | 1.35955e16i | −0.514140 | − | 0.514140i | ||||
\(969\) | −1.62715e16 | − | 4.81152e15i | −0.611854 | − | 0.180926i | ||||
\(970\) | −2.42629e16 | + | 2.35475e14i | −0.907191 | + | 0.00880441i | ||||
\(971\) | 1.94286e16i | 0.722330i | 0.932502 | + | 0.361165i | \(0.117621\pi\) | ||||
−0.932502 | + | 0.361165i | \(0.882379\pi\) | |||||||
\(972\) | −6.11631e15 | + | 8.00987e15i | −0.226113 | + | 0.296115i | ||||
\(973\) | −4.41119e16 | + | 4.41119e16i | −1.62157 | + | 1.62157i | ||||
\(974\) | −2.48949e16 | −0.909987 | ||||||||
\(975\) | 4.86080e15 | − | 1.76941e16i | 0.176678 | − | 0.643137i | ||||
\(976\) | −3.45798e16 | −1.24982 | ||||||||
\(977\) | −1.62065e16 | + | 1.62065e16i | −0.582464 | + | 0.582464i | −0.935580 | − | 0.353116i | \(-0.885122\pi\) |
0.353116 | + | 0.935580i | \(0.385122\pi\) | |||||||
\(978\) | 1.76447e16 | + | 3.24611e16i | 0.630596 | + | 1.16011i | ||||
\(979\) | 9.78592e14i | 0.0347774i | ||||||||
\(980\) | 1.23792e16 | − | 1.20142e14i | 0.437472 | − | 0.00424573i | ||||
\(981\) | 1.04969e16 | + | 6.80276e15i | 0.368878 | + | 0.239059i | ||||
\(982\) | 2.41508e16 | + | 2.41508e16i | 0.843952 | + | 0.843952i | ||||
\(983\) | −2.73690e16 | − | 2.73690e16i | −0.951074 | − | 0.951074i | 0.0477837 | − | 0.998858i | \(-0.484784\pi\) |
−0.998858 | + | 0.0477837i | \(0.984784\pi\) | |||||||
\(984\) | 1.07515e16 | − | 3.63594e16i | 0.371533 | − | 1.25645i | ||||
\(985\) | −9.93896e15 | + | 1.01338e16i | −0.341540 | + | 0.348234i | ||||
\(986\) | − | 3.10638e16i | − | 1.06153i | ||||||
\(987\) | −4.76027e16 | + | 2.58752e16i | −1.61766 | + | 0.879303i | ||||
\(988\) | −4.91026e15 | + | 4.91026e15i | −0.165936 | + | 0.165936i | ||||
\(989\) | −1.59536e15 | −0.0536142 | ||||||||
\(990\) | −3.56210e15 | + | 7.96873e14i | −0.119045 | + | 0.0266315i | ||||
\(991\) | −3.79251e16 | −1.26044 | −0.630219 | − | 0.776417i | \(-0.717035\pi\) | ||||
−0.630219 | + | 0.776417i | \(0.717035\pi\) | |||||||
\(992\) | −2.49626e16 | + | 2.49626e16i | −0.825042 | + | 0.825042i | ||||
\(993\) | 3.42750e16 | − | 1.86307e16i | 1.12656 | − | 0.612361i | ||||
\(994\) | − | 2.68790e16i | − | 0.878592i | ||||||
\(995\) | 9.77859e13 | + | 1.00757e16i | 0.00317870 | + | 0.327528i | ||||
\(996\) | −2.68861e15 | + | 9.09231e15i | −0.0869165 | + | 0.293933i | ||||
\(997\) | 2.46526e16 | + | 2.46526e16i | 0.792574 | + | 0.792574i | 0.981912 | − | 0.189338i | \(-0.0606340\pi\) |
−0.189338 | + | 0.981912i | \(0.560634\pi\) | |||||||
\(998\) | −1.25707e16 | − | 1.25707e16i | −0.401922 | − | 0.401922i | ||||
\(999\) | −2.73674e16 | + | 2.34408e16i | −0.870207 | + | 0.745354i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 15.12.e.a.2.5 | ✓ | 40 | |
3.2 | odd | 2 | inner | 15.12.e.a.2.16 | yes | 40 | |
5.2 | odd | 4 | 75.12.e.d.68.5 | 40 | |||
5.3 | odd | 4 | inner | 15.12.e.a.8.16 | yes | 40 | |
5.4 | even | 2 | 75.12.e.d.32.16 | 40 | |||
15.2 | even | 4 | 75.12.e.d.68.16 | 40 | |||
15.8 | even | 4 | inner | 15.12.e.a.8.5 | yes | 40 | |
15.14 | odd | 2 | 75.12.e.d.32.5 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
15.12.e.a.2.5 | ✓ | 40 | 1.1 | even | 1 | trivial | |
15.12.e.a.2.16 | yes | 40 | 3.2 | odd | 2 | inner | |
15.12.e.a.8.5 | yes | 40 | 15.8 | even | 4 | inner | |
15.12.e.a.8.16 | yes | 40 | 5.3 | odd | 4 | inner | |
75.12.e.d.32.5 | 40 | 15.14 | odd | 2 | |||
75.12.e.d.32.16 | 40 | 5.4 | even | 2 | |||
75.12.e.d.68.5 | 40 | 5.2 | odd | 4 | |||
75.12.e.d.68.16 | 40 | 15.2 | even | 4 |